121010000013 has 18 divisors (see below), whose sum is σ = 203329728654. Its totient is φ = 69148571184.

The previous prime is 121009999993. The next prime is 121010000047. The reversal of 121010000013 is 310000010121.

It can be written as a sum of positive squares in only one way, i.e., 92375268489 + 28634731524 = 303933^2 + 169218^2 .

It is not a de Polignac number, because 121010000013 - 2⁶ = 121009999949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010000513) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137199106 + ... + 137199987.

Almost surely, 2^121010000013 is an apocalyptic number.

It is an amenable number.

121010000013 is a deficient number, since it is larger than the sum of its proper divisors (82319728641).

121010000013 is a wasteful number, since it uses less digits than its factorization.

121010000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274399113 (or 274399103 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 121010000013 its reverse (310000010121), we get a palindrome (431010010134).

The spelling of 121010000013 in words is "one hundred twenty-one billion, ten million, thirteen", and thus it is an aban number.