10013918826961 has 48 divisors (see below), whose sum is σ = 11663723809920. Its totient is φ = 8421527439360.

The previous prime is 10013918826937. The next prime is 10013918826991. The reversal of 10013918826961 is 16962881931001.

It is a happy number.

It is not a de Polignac number, because 10013918826961 - 2¹⁷ = 10013918695889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10013918826991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3944039230 + ... + 3944041768.

It is an arithmetic number, because the mean of its divisors is an integer number (242994246040).

Almost surely, 2^{10013918826961} is an apocalyptic number.

It is an amenable number.

10013918826961 is a deficient number, since it is larger than the sum of its proper divisors (1649804982959).

10013918826961 is a wasteful number, since it uses less digits than its factorization.

10013918826961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 55.

The spelling of 10013918826961 in words is "ten trillion, thirteen billion, nine hundred eighteen million, eight hundred twenty-six thousand, nine hundred sixty-one".