331220130113313 has 192 divisors, whose sum is σ = 597008173824000. Its totient is φ = 177751771868160.

The previous prime is 331220130113293. The next prime is 331220130113393. The reversal of 331220130113313 is 313311031022133.

331220130113313 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 20 + 1 + 301 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 331220130113313 - 2⁵ = 331220130113281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331220130113393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64957857838 + ... + 64957862936.

It is an arithmetic number, because the mean of its divisors is an integer number (3109417572000).

Almost surely, 2^{331220130113313} is an apocalyptic number.

It is an amenable number.

331220130113313 is a deficient number, since it is larger than the sum of its proper divisors (265788043710687).

331220130113313 is a wasteful number, since it uses less digits than its factorization.

331220130113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331220130113313 its reverse (313311031022133), we get a palindrome (644531161135446).

The spelling of 331220130113313 in words is "three hundred thirty-one trillion, two hundred twenty billion, one hundred thirty million, one hundred thirteen thousand, three hundred thirteen".