105113430131 has 16 divisors (see below), whose sum is σ = 110232999360. Its totient is φ = 100101187200.

The previous prime is 105113430113. The next prime is 105113430173. The reversal of 105113430131 is 131034311501.

It is a cyclic number.

It is not a de Polignac number, because 105113430131 - 2¹⁰ = 105113429107 is a prime.

It is a super-2 number, since 2×105113430131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105113430097 and 105113430106.

It is not an unprimeable number, because it can be changed into a prime (105113430101) 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, 702101 + ... + 838553.

It is an arithmetic number, because the mean of its divisors is an integer number (6889562460).

Almost surely, 2^105113430131 is an apocalyptic number.

105113430131 is a deficient number, since it is larger than the sum of its proper divisors (5119569229).

105113430131 is a wasteful number, since it uses less digits than its factorization.

105113430131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136846.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 105113430131 its reverse (131034311501), we get a palindrome (236147741632).

The spelling of 105113430131 in words is "one hundred five billion, one hundred thirteen million, four hundred thirty thousand, one hundred thirty-one".