100938616313 has 2 divisors, whose sum is σ = 100938616314. Its totient is φ = 100938616312.

The previous prime is 100938616297. The next prime is 100938616327. The reversal of 100938616313 is 313616839001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100938373264 + 243049 = 317708^2 + 493^2 .

It is a cyclic number.

It is not a de Polignac number, because 100938616313 - 2⁴ = 100938616297 is a prime.

It is not a weakly prime, because it can be changed into another prime (100938616333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50469308156 + 50469308157.

It is an arithmetic number, because the mean of its divisors is an integer number (50469308157).

Almost surely, 2^100938616313 is an apocalyptic number.

It is an amenable number.

100938616313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100938616313 is an equidigital number, since it uses as much as digits as its factorization.

100938616313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 100938616313 in words is "one hundred billion, nine hundred thirty-eight million, six hundred sixteen thousand, three hundred thirteen".