331130100020013 has 20 divisors (see below), whose sum is σ = 565315585220320. Its totient is φ = 189217200011112.

The previous prime is 331130100020003. The next prime is 331130100020017. The reversal of 331130100020013 is 310020001031133.

It is a happy number.

331130100020013 is a `hidden beast` number, since 331 + 1 + 30 + 100 + 0 + 200 + 1 + 3 = 666.

It is not a de Polignac number, because 331130100020013 - 2¹⁰ = 331130100018989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331130100020017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292001851303 + ... + 292001852436.

It is an arithmetic number, because the mean of its divisors is an integer number (28265779261016).

Almost surely, 2^{331130100020013} is an apocalyptic number.

It is an amenable number.

331130100020013 is a deficient number, since it is larger than the sum of its proper divisors (234185485200307).

331130100020013 is an equidigital number, since it uses as much as digits as its factorization.

331130100020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584003703758 (or 584003703749 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331130100020013 its reverse (310020001031133), we get a palindrome (641150101051146).

The spelling of 331130100020013 in words is "three hundred thirty-one trillion, one hundred thirty billion, one hundred million, twenty thousand, thirteen".