331300321330113 has 12 divisors (see below), whose sum is σ = 506694609093348. Its totient is φ = 207874711422720.

The previous prime is 331300321330037. The next prime is 331300321330129. The reversal of 331300321330113 is 311033123003133.

331300321330113 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 0 + 0 + 321 + 330 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164536880259249 + 166763441070864 = 12827193^2 + 12913692^2 .

It is a de Polignac number, because none of the positive numbers 2^k-331300321330113 is a prime.

It is a super-2 number, since 2×331300321330113² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331300321330313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082680788508 + ... + 1082680788813.

It is an arithmetic number, because the mean of its divisors is an integer number (42224550757779).

Almost surely, 2^{331300321330113} is an apocalyptic number.

It is an amenable number.

331300321330113 is a deficient number, since it is larger than the sum of its proper divisors (175394287763235).

331300321330113 is a wasteful number, since it uses less digits than its factorization.

331300321330113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165361577344 (or 2165361577341 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 331300321330113 its reverse (311033123003133), we get a palindrome (642333444333246).

The spelling of 331300321330113 in words is "three hundred thirty-one trillion, three hundred billion, three hundred twenty-one million, three hundred thirty thousand, one hundred thirteen".