31461633616413 has 96 divisors (see below), whose sum is σ = 57331655563392. Its totient is φ = 15085717516800.

The previous prime is 31461633616397. The next prime is 31461633616429.

31461633616413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31461633616397) and next prime (31461633616429).

It is not a de Polignac number, because 31461633616413 - 2⁴ = 31461633616397 is a prime.

It is a super-3 number, since 3×31461633616413³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31461633616453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794847283 + ... + 794886863.

It is an arithmetic number, because the mean of its divisors is an integer number (597204745452).

Almost surely, 2^{31461633616413} is an apocalyptic number.

31461633616413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31461633616413 is a deficient number, since it is larger than the sum of its proper divisors (25870021946979).

31461633616413 is a wasteful number, since it uses less digits than its factorization.

31461633616413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77435 (or 77428 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The spelling of 31461633616413 in words is "thirty-one trillion, four hundred sixty-one billion, six hundred thirty-three million, six hundred sixteen thousand, four hundred thirteen".