100315513001 has 16 divisors (see below), whose sum is σ = 113088875328. Its totient is φ = 88193112000.

The previous prime is 100315512991. The next prime is 100315513007.

100315513001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100315513001 - 2⁶ = 100315512937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100315513007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002146 + ... + 1097691.

It is an arithmetic number, because the mean of its divisors is an integer number (7068054708).

Almost surely, 2^100315513001 is an apocalyptic number.

100315513001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100315513001 is a deficient number, since it is larger than the sum of its proper divisors (12773362327).

100315513001 is a wasteful number, since it uses less digits than its factorization.

100315513001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099992.

The product of its (nonzero) digits is 225, while the sum is 20.

It can be divided in two parts, 100315 and 513001, that added together give a palindrome (613316).

The spelling of 100315513001 in words is "one hundred billion, three hundred fifteen million, five hundred thirteen thousand, one".