11500110513 has 40 divisors (see below), whose sum is σ = 18204150888. Its totient is φ = 7210031616.

The previous prime is 11500110511. The next prime is 11500110527. The reversal of 11500110513 is 31501100511.

11500110513 is a `hidden beast` number, since 1 + 1 + 500 + 110 + 51 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1613387889 + 9886722624 = 40167^2 + 99432^2 .

It is not a de Polignac number, because 11500110513 - 2¹ = 11500110511 is a prime.

It is a super-2 number, since 2×11500110513² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11500110511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2328795 + ... + 2333727.

Almost surely, 2^11500110513 is an apocalyptic number.

It is an amenable number.

11500110513 is a deficient number, since it is larger than the sum of its proper divisors (6704040375).

11500110513 is a wasteful number, since it uses less digits than its factorization.

11500110513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 11500110513 in words is "eleven billion, five hundred million, one hundred ten thousand, five hundred thirteen".