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13101220113331 = 723538571791551
BaseRepresentation
bin1011111010100101110110…
…0100100010101110110011
31201101110112120000001100211
42332221131210202232303
53204122244322111311
643510341210524551
72521350306355540
oct276513544425663
951343476001324
1013101220113331
1141a121822a019
121577130136757
137405941b21bc
1433416112dbc7
1517abd5a81821
hexbea5d922bb3

13101220113331 has 32 divisors (see below), whose sum is σ = 15937187954688. Its totient is φ = 10526402515200.

The previous prime is 13101220113323. The next prime is 13101220113337. The reversal of 13101220113331 is 13331102210131.

It is a cyclic number.

It is not a de Polignac number, because 13101220113331 - 23 = 13101220113323 is a prime.

It is a super-3 number, since 3×131012201133313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13101220113337) 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, 6417006 + ... + 8208556.

It is an arithmetic number, because the mean of its divisors is an integer number (498037123584).

Almost surely, 213101220113331 is an apocalyptic number.

13101220113331 is a deficient number, since it is larger than the sum of its proper divisors (2835967841357).

13101220113331 is a wasteful number, since it uses less digits than its factorization.

13101220113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792491.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13101220113331 its reverse (13331102210131), we get a palindrome (26432322323462).

The spelling of 13101220113331 in words is "thirteen trillion, one hundred one billion, two hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 23 53 161 371 857 1219 5999 8533 19711 45421 137977 317947 1044683 1791551 7312781 12540857 41205673 94952203 288439711 664665421 1535359207 2183900669 10747514449 15287304683 35313261761 81374037971 247192832327 569618265797 1871602873333 13101220113331