100713002367627 has 32 divisors (see below), whose sum is σ = 160731600644160. Its totient is φ = 61957989918720.

The previous prime is 100713002367619. The next prime is 100713002367629. The reversal of 100713002367627 is 726763200317001.

100713002367627 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 13 + 0 + 0 + 2 + 3 + 6 + 7 + 627 = 666.

It is not a de Polignac number, because 100713002367627 - 2³ = 100713002367619 is a prime.

It is a super-2 number, since 2×100713002367627² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100713002367629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43410198 + ... + 45671339.

It is an arithmetic number, because the mean of its divisors is an integer number (5022862520130).

Almost surely, 2^{100713002367627} is an apocalyptic number.

100713002367627 is a deficient number, since it is larger than the sum of its proper divisors (60018598276533).

100713002367627 is a wasteful number, since it uses less digits than its factorization.

100713002367627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89084780 (or 89084774 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 100713002367627 in words is "one hundred trillion, seven hundred thirteen billion, two million, three hundred sixty-seven thousand, six hundred twenty-seven".