13001313213 has 64 divisors (see below), whose sum is σ = 22405447680. Its totient is φ = 7297651584.

The previous prime is 13001313209. The next prime is 13001313233. The reversal of 13001313213 is 31231310031.

It is a happy number.

It is not a de Polignac number, because 13001313213 - 2² = 13001313209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001313233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3626820 + ... + 3630402.

It is an arithmetic number, because the mean of its divisors is an integer number (350085120).

Almost surely, 2^13001313213 is an apocalyptic number.

It is an amenable number.

13001313213 is a deficient number, since it is larger than the sum of its proper divisors (9404134467).

13001313213 is a wasteful number, since it uses less digits than its factorization.

13001313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13001313213 its reverse (31231310031), we get a palindrome (44232623244).

The spelling of 13001313213 in words is "thirteen billion, one million, three hundred thirteen thousand, two hundred thirteen".