100459723013 has 8 divisors (see below), whose sum is σ = 111111378168. Its totient is φ = 90225779904.

The previous prime is 100459722949. The next prime is 100459723019. The reversal of 100459723013 is 310327954001.

It can be written as a sum of positive squares in 4 ways, for example, as 795127204 + 99664595809 = 28198^2 + 315697^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100459723013 - 2⁶ = 100459722949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100459723019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104427506 + ... + 104428467.

It is an arithmetic number, because the mean of its divisors is an integer number (13888922271).

Almost surely, 2^100459723013 is an apocalyptic number.

100459723013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100459723013 is a deficient number, since it is larger than the sum of its proper divisors (10651655155).

100459723013 is a wasteful number, since it uses less digits than its factorization.

100459723013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208856023.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 100459723013 in words is "one hundred billion, four hundred fifty-nine million, seven hundred twenty-three thousand, thirteen".