100513040315001 has 32 divisors (see below), whose sum is σ = 141550163020800. Its totient is φ = 63266629849920.

The previous prime is 100513040314931. The next prime is 100513040315041.

100513040315001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100513040315001 - 2¹⁴ = 100513040298617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100513040315041) 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, 17432610 + ... + 22470468.

It is an arithmetic number, because the mean of its divisors is an integer number (4423442594400).

Almost surely, 2^{100513040315001} is an apocalyptic number.

It is an amenable number.

100513040315001 is a deficient number, since it is larger than the sum of its proper divisors (41037122705799).

100513040315001 is a wasteful number, since it uses less digits than its factorization.

100513040315001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039069.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 100513040315001 in words is "one hundred trillion, five hundred thirteen billion, forty million, three hundred fifteen thousand, one".