102033031013113 has 2 divisors, whose sum is σ = 102033031013114. Its totient is φ = 102033031013112.

The previous prime is 102033031013051. The next prime is 102033031013129. The reversal of 102033031013113 is 311310130330201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91584957420009 + 10448073593104 = 9570003^2 + 3232348^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033031013113 - 2²⁵ = 102032997458681 is a prime.

It is not a weakly prime, because it can be changed into another prime (102033031013143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016515506556 + 51016515506557.

It is an arithmetic number, because the mean of its divisors is an integer number (51016515506557).

Almost surely, 2^{102033031013113} is an apocalyptic number.

It is an amenable number.

102033031013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033031013113 is an equidigital number, since it uses as much as digits as its factorization.

102033031013113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 102033031013113 its reverse (311310130330201), we get a palindrome (413343161343314).

The spelling of 102033031013113 in words is "one hundred two trillion, thirty-three billion, thirty-one million, thirteen thousand, one hundred thirteen".