100131110369 has 2 divisors, whose sum is σ = 100131110370. Its totient is φ = 100131110368.

The previous prime is 100131110297. The next prime is 100131110383. The reversal of 100131110369 is 963011131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90788921344 + 9342189025 = 301312^2 + 96655^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131110369 - 2²⁴ = 100114333153 is a prime.

It is a super-2 number, since 2×100131110369² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100131110269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065555184 + 50065555185.

It is an arithmetic number, because the mean of its divisors is an integer number (50065555185).

Almost surely, 2^100131110369 is an apocalyptic number.

It is an amenable number.

100131110369 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131110369 is an equidigital number, since it uses as much as digits as its factorization.

100131110369 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 26.

The spelling of 100131110369 in words is "one hundred billion, one hundred thirty-one million, one hundred ten thousand, three hundred sixty-nine".