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13231111113231 = 3111016416193027
BaseRepresentation
bin1100000010001001101110…
…1011011000101000001111
31201211212210212211111221220
43000202123223120220033
53213234303421110411
644050142153454423
72533626160554414
oct300423353305017
951755725744856
1013231111113231
11424131231a820
121598340411413
1374c8c461181b
1433a563d4410b
1517e289063b06
hexc089bad8a0f

13231111113231 has 32 divisors (see below), whose sum is σ = 19466123786496. Its totient is φ = 7927073280000.

The previous prime is 13231111113203. The next prime is 13231111113251.

13231111113231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13231111113231 is a prime.

It is a super-2 number, since 2×132311111132312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231111113251) 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, 960061 + ... + 5232966.

It is an arithmetic number, because the mean of its divisors is an integer number (608316368328).

Almost surely, 213231111113231 is an apocalyptic number.

13231111113231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13231111113231 is a deficient number, since it is larger than the sum of its proper divisors (6235012673265).

13231111113231 is a wasteful number, since it uses less digits than its factorization.

13231111113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193783.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 1323111 and 1113231, that added together give a palindrome (2436342).

The spelling of 13231111113231 in words is "thirteen trillion, two hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 33 101 303 641 1111 1923 3333 7051 21153 64741 194223 712151 2136453 6193027 18579081 68123297 204369891 625495727 1876487181 3969730307 6880452997 11909190921 20641358991 43667033377 131001100131 400942761007 1202828283021 4410370371077 13231111113231