315201102513 has 16 divisors (see below), whose sum is σ = 458602105536. Its totient is φ = 190977731840.

The previous prime is 315201102499. The next prime is 315201102569.

315201102513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 315201102513 - 2⁵ = 315201102481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315201102313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210620 + ... + 1447757.

It is an arithmetic number, because the mean of its divisors is an integer number (28662631596).

Almost surely, 2^315201102513 is an apocalyptic number.

315201102513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315201102513 is a deficient number, since it is larger than the sum of its proper divisors (143401003023).

315201102513 is a wasteful number, since it uses less digits than its factorization.

315201102513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661984.

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

It can be divided in two parts, 315201 and 102513, that added together give a palindrome (417714).

The spelling of 315201102513 in words is "three hundred fifteen billion, two hundred one million, one hundred two thousand, five hundred thirteen".