13006456313 has 4 divisors (see below), whose sum is σ = 13029807780. Its totient is φ = 12983104848.

The previous prime is 13006456259. The next prime is 13006456321. The reversal of 13006456313 is 31365460031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7605235264 + 5401221049 = 87208^2 + 73493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13006456313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13006456313.

It is not an unprimeable number, because it can be changed into a prime (13006452313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11674898 + ... + 11676011.

It is an arithmetic number, because the mean of its divisors is an integer number (3257451945).

Almost surely, 2^13006456313 is an apocalyptic number.

It is an amenable number.

13006456313 is a deficient number, since it is larger than the sum of its proper divisors (23351467).

13006456313 is an equidigital number, since it uses as much as digits as its factorization.

13006456313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351466.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 13006456313 in words is "thirteen billion, six million, four hundred fifty-six thousand, three hundred thirteen".