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13011001313233 = 7112235971159437
BaseRepresentation
bin1011110101010101110000…
…0111001000011111010001
31201001211200001102010221011
42331111130013020133101
53201133012314010413
643401101012530521
72512004512254040
oct275253407103721
951054601363834
1013011001313233
114166a31055200
121561752020a41
13734c16c52711
1432da43158557
151786a53d533d
hexbd55c1c87d1

13011001313233 has 96 divisors (see below), whose sum is σ = 17588485877760. Its totient is φ = 9398943523200.

The previous prime is 13011001313231. The next prime is 13011001313251. The reversal of 13011001313233 is 33231310011031.

It is not a de Polignac number, because 13011001313233 - 21 = 13011001313231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13011001313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81526191 + ... + 81685627.

It is an arithmetic number, because the mean of its divisors is an integer number (183213394560).

Almost surely, 213011001313233 is an apocalyptic number.

It is an amenable number.

13011001313233 is a deficient number, since it is larger than the sum of its proper divisors (4577484564527).

13011001313233 is a wasteful number, since it uses less digits than its factorization.

13011001313233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159619 (or 159608 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13011001313233 its reverse (33231310011031), we get a palindrome (46242311324264).

The spelling of 13011001313233 in words is "thirteen trillion, eleven billion, one million, three hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 7 11 23 59 71 77 121 161 253 413 497 649 781 847 1357 1633 1771 2783 4189 4543 5467 7139 8591 9499 11431 14927 17963 19481 29323 46079 49973 60137 96347 104489 125741 159437 164197 197593 322553 506869 674429 1059817 1116059 1149379 1383151 1753807 3548083 3667051 7418719 9406783 11320027 11657987 12276649 19291877 25669357 40337561 65847481 79240189 81605909 103474613 124520297 135043139 216356009 260360621 282362927 443713171 667881593 724322291 871642079 1138220743 1369723267 1514492063 1822524347 2379916099 2863966831 3105992197 4675171151 7346697523 7967545201 9588062869 15361276639 16659412693 20047767817 26179077089 31503635141 51426882661 80813672753 107528936473 168974043029 183253539623 220525445987 565695709271 1182818301203 1858714473319 13011001313233