105513113231 has 16 divisors (see below), whose sum is σ = 114273444960. Its totient is φ = 97083204480.

The previous prime is 105513113227. The next prime is 105513113239. The reversal of 105513113231 is 132311315501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105513113231 - 2² = 105513113227 is a prime.

It is a super-2 number, since 2×105513113231² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105513113231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513113239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256841 + ... + 526301.

It is an arithmetic number, because the mean of its divisors is an integer number (7142090310).

Almost surely, 2^105513113231 is an apocalyptic number.

105513113231 is a deficient number, since it is larger than the sum of its proper divisors (8760331729).

105513113231 is a wasteful number, since it uses less digits than its factorization.

105513113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270074.

The product of its (nonzero) digits is 1350, while the sum is 26.

Adding to 105513113231 its reverse (132311315501), we get a palindrome (237824428732).

The spelling of 105513113231 in words is "one hundred five billion, five hundred thirteen million, one hundred thirteen thousand, two hundred thirty-one".