113442313131 has 128 divisors (see below), whose sum is σ = 211401308160. Its totient is φ = 58641739776.

The previous prime is 113442313099. The next prime is 113442313169. The reversal of 113442313131 is 131313244311.

113442313131 is a `hidden beast` number, since 1 + 1 + 344 + 2 + 3 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 113442313131 - 2⁵ = 113442313099 is a prime.

It is a super-2 number, since 2×113442313131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113442313095 and 113442313104.

It is not an unprimeable number, because it can be changed into a prime (113442313531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9861375 + ... + 9872871.

It is an arithmetic number, because the mean of its divisors is an integer number (1651572720).

Almost surely, 2^113442313131 is an apocalyptic number.

113442313131 is a deficient number, since it is larger than the sum of its proper divisors (97958995029).

113442313131 is a wasteful number, since it uses less digits than its factorization.

113442313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11644 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 113442313131 its reverse (131313244311), we get a palindrome (244755557442).

It can be divided in two parts, 113 and 442313131, that added together give a palindrome (442313244).

The spelling of 113442313131 in words is "one hundred thirteen billion, four hundred forty-two million, three hundred thirteen thousand, one hundred thirty-one".