100458370727213 has 8 divisors (see below), whose sum is σ = 100685874670200. Its totient is φ = 100230883522560.

The previous prime is 100458370727203. The next prime is 100458370727279. The reversal of 100458370727213 is 312727073854001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29876915496484 + 70581455230729 = 5465978^2 + 8401277^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100458370727213 - 2²⁴ = 100458353949997 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 (100458370727203) 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, 7871681 + ... + 16213577.

It is an arithmetic number, because the mean of its divisors is an integer number (12585734333775).

Almost surely, 2^{100458370727213} is an apocalyptic number.

It is an amenable number.

100458370727213 is a deficient number, since it is larger than the sum of its proper divisors (227503942987).

100458370727213 is an equidigital number, since it uses as much as digits as its factorization.

100458370727213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369167.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 100458370727213 in words is "one hundred trillion, four hundred fifty-eight billion, three hundred seventy million, seven hundred twenty-seven thousand, two hundred thirteen".