13291290031488 has 256 divisors, whose sum is σ = 40925975777280. Its totient is φ = 3743550720000.

The previous prime is 13291290031469. The next prime is 13291290031499. The reversal of 13291290031488 is 88413009219231.

13291290031488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13291290031488² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13291290031488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53046343 + ... + 53296313.

It is an arithmetic number, because the mean of its divisors is an integer number (159867092880).

Almost surely, 2^{13291290031488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13291290031488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462987888640).

13291290031488 is an abundant number, since it is smaller than the sum of its proper divisors (27634685745792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13291290031488 is a wasteful number, since it uses less digits than its factorization.

13291290031488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250277 (or 250265 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 13291290031488 in words is "thirteen trillion, two hundred ninety-one billion, two hundred ninety million, thirty-one thousand, four hundred eighty-eight".