13021020313331 has 2 divisors, whose sum is σ = 13021020313332. Its totient is φ = 13021020313330.

The previous prime is 13021020313289. The next prime is 13021020313351. The reversal of 13021020313331 is 13331302012031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13021020313331 is a prime.

It is a super-2 number, since 2×13021020313331² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 13021020313297 and 13021020313306.

It is not a weakly prime, because it can be changed into another prime (13021020313351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510510156665 + 6510510156666.

It is an arithmetic number, because the mean of its divisors is an integer number (6510510156666).

Almost surely, 2^{13021020313331} is an apocalyptic number.

13021020313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021020313331 is an equidigital number, since it uses as much as digits as its factorization.

13021020313331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13021020313331 its reverse (13331302012031), we get a palindrome (26352322325362).

The spelling of 13021020313331 in words is "thirteen trillion, twenty-one billion, twenty million, three hundred thirteen thousand, three hundred thirty-one".