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13023221312031 = 376760115401033
BaseRepresentation
bin1011110110000011010001…
…1110101110101000011111
31201010000012200111101220020
42331200310132232220133
53201333024123441111
643410441341523223
72512616364450510
oct275406436565037
951100180441806
1013023221312031
114171131a09167
121563ba2573513
13736113854238
14330482082a07
15178b6d110906
hexbd8347aea1f

13023221312031 has 32 divisors (see below), whose sum is σ = 20174615290368. Its totient is φ = 7318570406400.

The previous prime is 13023221312029. The next prime is 13023221312051. The reversal of 13023221312031 is 13021312232031.

It is not a de Polignac number, because 13023221312031 - 21 = 13023221312029 is a prime.

It is a super-2 number, since 2×130232213120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023221311992 and 13023221312010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023221312051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6854910 + ... + 8546123.

It is an arithmetic number, because the mean of its divisors is an integer number (630456727824).

Almost surely, 213023221312031 is an apocalyptic number.

13023221312031 is a deficient number, since it is larger than the sum of its proper divisors (7151393978337).

13023221312031 is a wasteful number, since it uses less digits than its factorization.

13023221312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401711.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13023221312031 its reverse (13021312232031), we get a palindrome (26044533544062).

The spelling of 13023221312031 in words is "thirteen trillion, twenty-three billion, two hundred twenty-one million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 67 201 469 601 1407 1803 4207 12621 40267 120801 281869 845607 15401033 46203099 107807231 323421693 1031869211 3095607633 7223084477 9256020833 21669253431 27768062499 64792145831 194376437493 620153395811 1860460187433 4341073770677 13023221312031