100940256013 has 2 divisors, whose sum is σ = 100940256014. Its totient is φ = 100940256012.

The previous prime is 100940255993. The next prime is 100940256017. The reversal of 100940256013 is 310652049001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99996353284 + 943902729 = 316222^2 + 30723^2 .

It is a cyclic number.

It is not a de Polignac number, because 100940256013 - 2⁹ = 100940255501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100940256017) 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, 50470128006 + 50470128007.

It is an arithmetic number, because the mean of its divisors is an integer number (50470128007).

Almost surely, 2^100940256013 is an apocalyptic number.

It is an amenable number.

100940256013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100940256013 is an equidigital number, since it uses as much as digits as its factorization.

100940256013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 100940256013 in words is "one hundred billion, nine hundred forty million, two hundred fifty-six thousand, thirteen".