313013133331 has 2 divisors, whose sum is σ = 313013133332. Its totient is φ = 313013133330.

The previous prime is 313013133271. The next prime is 313013133373. The reversal of 313013133331 is 133331310313.

It is a strong prime.

It is an emirp because it is prime and its reverse (133331310313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313013133331 - 2⁹ = 313013132819 is a prime.

It is a super-2 number, since 2×313013133331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313013133296 and 313013133305.

It is not a weakly prime, because it can be changed into another prime (313013131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506566665 + 156506566666.

It is an arithmetic number, because the mean of its divisors is an integer number (156506566666).

Almost surely, 2^313013133331 is an apocalyptic number.

313013133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

313013133331 is an equidigital number, since it uses as much as digits as its factorization.

313013133331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 313013133331 its reverse (133331310313), we get a palindrome (446344443644).

The spelling of 313013133331 in words is "three hundred thirteen billion, thirteen million, one hundred thirty-three thousand, three hundred thirty-one".