100713731 has 2 divisors, whose sum is σ = 100713732. Its totient is φ = 100713730.

The previous prime is 100713707. The next prime is 100713749. The reversal of 100713731 is 137317001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100713731 - 2¹⁴ = 100697347 is a prime.

It is a super-2 number, since 2×100713731² = 20286511223880722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100713697 and 100713706.

It is not a weakly prime, because it can be changed into another prime (100713751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50356865 + 50356866.

It is an arithmetic number, because the mean of its divisors is an integer number (50356866).

Almost surely, 2^100713731 is an apocalyptic number.

100713731 is a deficient number, since it is larger than the sum of its proper divisors (1).

100713731 is an equidigital number, since it uses as much as digits as its factorization.

100713731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 100713731 is about 10035.6230997383. The cubic root of 100713731 is about 465.2605484750.

The spelling of 100713731 in words is "one hundred million, seven hundred thirteen thousand, seven hundred thirty-one".