97131746313 has 72 divisors (see below), whose sum is σ = 165367138248. Its totient is φ = 54774332928.

The previous prime is 97131746311. The next prime is 97131746317. The reversal of 97131746313 is 31364713179.

97131746313 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 1 + 7 + 4 + 631 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16425754569 + 80705991744 = 128163^2 + 284088^2 .

It is not a de Polignac number, because 97131746313 - 2¹ = 97131746311 is a prime.

It is a super-2 number, since 2×97131746313² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97131746311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10447495 + ... + 10456787.

It is an arithmetic number, because the mean of its divisors is an integer number (2296765809).

Almost surely, 2^97131746313 is an apocalyptic number.

It is an amenable number.

97131746313 is a deficient number, since it is larger than the sum of its proper divisors (68235391935).

97131746313 is a wasteful number, since it uses less digits than its factorization.

97131746313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9613 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 97131746313 in words is "ninety-seven billion, one hundred thirty-one million, seven hundred forty-six thousand, three hundred thirteen".