13131000013331 has 2 divisors, whose sum is σ = 13131000013332. Its totient is φ = 13131000013330.

The previous prime is 13131000013301. The next prime is 13131000013337. The reversal of 13131000013331 is 13331000013131.

13131000013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13131000013331 - 2⁶ = 13131000013267 is a prime.

It is a super-2 number, since 2×13131000013331² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (13131000013337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500006665 + 6565500006666.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500006666).

Almost surely, 2^{13131000013331} is an apocalyptic number.

13131000013331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131000013331 is an equidigital number, since it uses as much as digits as its factorization.

13131000013331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13131000013331 its reverse (13331000013131), we get a palindrome (26462000026462).

The spelling of 13131000013331 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, three hundred thirty-one".