97013122131079 has 32 divisors (see below), whose sum is σ = 121629645388800. Its totient is φ = 75171919069440.

The previous prime is 97013122131053. The next prime is 97013122131091.

97013122131079 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 97013122131079 - 2⁹ = 97013122130567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97013122135079) 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, 5124502 + ... + 14842060.

It is an arithmetic number, because the mean of its divisors is an integer number (3800926418400).

Almost surely, 2^{97013122131079} is an apocalyptic number.

97013122131079 is a deficient number, since it is larger than the sum of its proper divisors (24616523257721).

97013122131079 is a wasteful number, since it uses less digits than its factorization.

97013122131079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718303.

The product of its (nonzero) digits is 142884, while the sum is 46.

The spelling of 97013122131079 in words is "ninety-seven trillion, thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, seventy-nine".