113000313231331 has 16 divisors (see below), whose sum is σ = 114637975920000. Its totient is φ = 111367853715456.

The previous prime is 113000313231307. The next prime is 113000313231427. The reversal of 113000313231331 is 133132313000311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113000313231331 is a prime.

It is a super-2 number, since 2×113000313231331² (a number of 29 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 = 113000313231296 and 113000313231305.

It is not an unprimeable number, because it can be changed into a prime (113000313231031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999159235 + ... + 999272323.

It is an arithmetic number, because the mean of its divisors is an integer number (7164873495000).

Almost surely, 2^{113000313231331} is an apocalyptic number.

113000313231331 is a deficient number, since it is larger than the sum of its proper divisors (1637662688669).

113000313231331 is a wasteful number, since it uses less digits than its factorization.

113000313231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135966.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 113000313231331 its reverse (133132313000311), we get a palindrome (246132626231642).

The spelling of 113000313231331 in words is "one hundred thirteen trillion, three hundred thirteen million, two hundred thirty-one thousand, three hundred thirty-one".