331201230032313 has 10 divisors (see below), whose sum is σ = 494757393011354. Its totient is φ = 220800820021488.

The previous prime is 331201230032243. The next prime is 331201230032369. The reversal of 331201230032313 is 313230032102133.

331201230032313 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 0 + 12 + 300 + 32 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308194597142784 + 23006632889529 = 17555472^2 + 4796523^2 .

It is not a de Polignac number, because 331201230032313 - 2⁹ = 331201230031801 is a prime.

It is a super-2 number, since 2×331201230032313² (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331201230032213) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2044452037156 + ... + 2044452037317.

Almost surely, 2^{331201230032313} is an apocalyptic number.

It is an amenable number.

331201230032313 is a deficient number, since it is larger than the sum of its proper divisors (163556162979041).

331201230032313 is an equidigital number, since it uses as much as digits as its factorization.

331201230032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088904074485 (or 4088904074476 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331201230032313 its reverse (313230032102133), we get a palindrome (644431262134446).

The spelling of 331201230032313 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred thirty million, thirty-two thousand, three hundred thirteen".