91313102002031 has 48 divisors (see below), whose sum is σ = 120416316017760. Its totient is φ = 68443264915200.

The previous prime is 91313102001971. The next prime is 91313102002033. The reversal of 91313102002031 is 13020020131319.

It is not a de Polignac number, because 91313102002031 - 2³⁴ = 91295922132847 is a prime.

It is a super-2 number, since 2×91313102002031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91313102002033) 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 47 ways as a sum of consecutive naturals, for example, 533668865 + ... + 533839941.

It is an arithmetic number, because the mean of its divisors is an integer number (2508673250370).

Almost surely, 2^{91313102002031} is an apocalyptic number.

91313102002031 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

91313102002031 is a deficient number, since it is larger than the sum of its proper divisors (29103214015729).

91313102002031 is a wasteful number, since it uses less digits than its factorization.

91313102002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215224 (or 215217 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 91313102002031 in words is "ninety-one trillion, three hundred thirteen billion, one hundred two million, two thousand, thirty-one".