331301012321313 has 12 divisors (see below), whose sum is σ = 481593969788308. Its totient is φ = 219460543192800.

The previous prime is 331301012321269. The next prime is 331301012321341. The reversal of 331301012321313 is 313123210103133.

331301012321313 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 0 + 10 + 12 + 321 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176514394800384 + 154786617520929 = 13285872^2 + 12441327^2 .

It is not a de Polignac number, because 331301012321313 - 2⁶ = 331301012321249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331301012221313) 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, 117233194738 + ... + 117233197563.

Almost surely, 2^{331301012321313} is an apocalyptic number.

It is an amenable number.

331301012321313 is a deficient number, since it is larger than the sum of its proper divisors (150292957466995).

331301012321313 is a wasteful number, since it uses less digits than its factorization.

331301012321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234466392464 (or 234466392461 counting only the distinct ones).

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

Adding to 331301012321313 its reverse (313123210103133), we get a palindrome (644424222424446).

The spelling of 331301012321313 in words is "three hundred thirty-one trillion, three hundred one billion, twelve million, three hundred twenty-one thousand, three hundred thirteen".