13034405313 has 6 divisors (see below), whose sum is σ = 18827474354. Its totient is φ = 8689603536.

The previous prime is 13034405303. The next prime is 13034405317. The reversal of 13034405313 is 31350443031.

13034405313 is a `hidden beast` number, since 1 + 3 + 0 + 344 + 0 + 5 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12903142464 + 131262849 = 113592^2 + 11457^2 .

It is not a de Polignac number, because 13034405313 - 2⁶ = 13034405249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13034405317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724133620 + ... + 724133637.

Almost surely, 2^13034405313 is an apocalyptic number.

It is an amenable number.

13034405313 is a deficient number, since it is larger than the sum of its proper divisors (5793069041).

13034405313 is a wasteful number, since it uses less digits than its factorization.

13034405313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448267263 (or 1448267260 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13034405313 its reverse (31350443031), we get a palindrome (44384848344).

The spelling of 13034405313 in words is "thirteen billion, thirty-four million, four hundred five thousand, three hundred thirteen".