10513250013 has 16 divisors (see below), whose sum is σ = 16021630976. Its totient is φ = 6007031280.

The previous prime is 10513249937. The next prime is 10513250017. The reversal of 10513250013 is 31005231501.

It is not a de Polignac number, because 10513250013 - 2⁹ = 10513249501 is a prime.

It is a super-2 number, since 2×10513250013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513250017) 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, 409020 + ... + 433962.

It is an arithmetic number, because the mean of its divisors is an integer number (1001351936).

Almost surely, 2^10513250013 is an apocalyptic number.

It is an amenable number.

10513250013 is a deficient number, since it is larger than the sum of its proper divisors (5508380963).

10513250013 is a wasteful number, since it uses less digits than its factorization.

10513250013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45024.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 10513250013 its reverse (31005231501), we get a palindrome (41518481514).

The spelling of 10513250013 in words is "ten billion, five hundred thirteen million, two hundred fifty thousand, thirteen".