13088244288031 has 16 divisors (see below), whose sum is σ = 14541234480000. Its totient is φ = 11679894194400.

The previous prime is 13088244288023. The next prime is 13088244288043.

13088244288031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13088244288031 - 2³ = 13088244288023 is a prime.

It is a super-2 number, since 2×13088244288031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13088244288031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13088244288061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19209841 + ... + 19879498.

It is an arithmetic number, because the mean of its divisors is an integer number (908827155000).

Almost surely, 2^{13088244288031} is an apocalyptic number.

13088244288031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13088244288031 is a deficient number, since it is larger than the sum of its proper divisors (1452990191969).

13088244288031 is a wasteful number, since it uses less digits than its factorization.

13088244288031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39089910.

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 13088244288031 in words is "thirteen trillion, eighty-eight billion, two hundred forty-four million, two hundred eighty-eight thousand, thirty-one".