97131311313179 has 32 divisors (see below), whose sum is σ = 120119492505600. Its totient is φ = 77218038754560.

The previous prime is 97131311313149. The next prime is 97131311313181.

It is a happy number.

97131311313179 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-97131311313179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97131311313149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492871247 + ... + 493068279.

It is an arithmetic number, because the mean of its divisors is an integer number (3753734140800).

Almost surely, 2^{97131311313179} is an apocalyptic number.

97131311313179 is a deficient number, since it is larger than the sum of its proper divisors (22988181192421).

97131311313179 is a wasteful number, since it uses less digits than its factorization.

97131311313179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378515.

The product of its digits is 321489, while the sum is 50.

The spelling of 97131311313179 in words is "ninety-seven trillion, one hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, one hundred seventy-nine".