13130213313 has 96 divisors (see below), whose sum is σ = 21939984000. Its totient is φ = 6939641856.

The previous prime is 13130213293. The next prime is 13130213323. The reversal of 13130213313 is 31331203131.

It is not a de Polignac number, because 13130213313 - 2⁵ = 13130213281 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13130213313.

It is not an unprimeable number, because it can be changed into a prime (13130213323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66650731 + ... + 66650927.

It is an arithmetic number, because the mean of its divisors is an integer number (228541500).

Almost surely, 2^13130213313 is an apocalyptic number.

It is an amenable number.

13130213313 is a deficient number, since it is larger than the sum of its proper divisors (8809770687).

13130213313 is a wasteful number, since it uses less digits than its factorization.

13130213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13130213313 its reverse (31331203131), we get a palindrome (44461416444).

The spelling of 13130213313 in words is "thirteen billion, one hundred thirty million, two hundred thirteen thousand, three hundred thirteen".