121131002330013 has 24 divisors (see below), whose sum is σ = 174996601813440. Its totient is φ = 74495595033600.

The previous prime is 121131002329973. The next prime is 121131002330017. The reversal of 121131002330013 is 310033200131121.

It is a happy number.

It is not a de Polignac number, because 121131002330013 - 2²² = 121130998135709 is a prime.

It is a super-2 number, since 2×121131002330013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131002330017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73803273 + ... + 75426686.

It is an arithmetic number, because the mean of its divisors is an integer number (7291525075560).

Almost surely, 2^{121131002330013} is an apocalyptic number.

121131002330013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121131002330013 is a deficient number, since it is larger than the sum of its proper divisors (53865599483427).

121131002330013 is a wasteful number, since it uses less digits than its factorization.

121131002330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149231589 (or 149231576 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 121131002330013 its reverse (310033200131121), we get a palindrome (431164202461134).

The spelling of 121131002330013 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two million, three hundred thirty thousand, thirteen".