331220002113 has 192 divisors, whose sum is σ = 664634460672. Its totient is φ = 153385021440.

The previous prime is 331220002063. The next prime is 331220002123. The reversal of 331220002113 is 311200022133.

331220002113 is a `hidden beast` number, since 331 + 220 + 0 + 0 + 2 + 113 = 666.

It is not a de Polignac number, because 331220002113 - 2²⁰ = 331218953537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331220002123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45662995 + ... + 45670247.

It is an arithmetic number, because the mean of its divisors is an integer number (3461637816).

Almost surely, 2^331220002113 is an apocalyptic number.

331220002113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331220002113 is an abundant number, since it is smaller than the sum of its proper divisors (333414458559).

331220002113 is a wasteful number, since it uses less digits than its factorization.

331220002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331220002113 its reverse (311200022133), we get a palindrome (642420024246).

The spelling of 331220002113 in words is "three hundred thirty-one billion, two hundred twenty million, two thousand, one hundred thirteen".