13004753213 has 8 divisors (see below), whose sum is σ = 13078603896. Its totient is φ = 12930969600.

The previous prime is 13004753197. The next prime is 13004753249. The reversal of 13004753213 is 31235740031.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 13004437369 = 562^2 + 114037^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13004753213 - 2⁴ = 13004753197 is a prime.

It is a super-2 number, since 2×13004753213² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004753263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401483 + ... + 432663.

It is an arithmetic number, because the mean of its divisors is an integer number (1634825487).

Almost surely, 2^13004753213 is an apocalyptic number.

It is an amenable number.

13004753213 is a deficient number, since it is larger than the sum of its proper divisors (73850683).

13004753213 is a wasteful number, since it uses less digits than its factorization.

13004753213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33535.

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 13004753213 in words is "thirteen billion, four million, seven hundred fifty-three thousand, two hundred thirteen".