13132001313 has 40 divisors (see below), whose sum is σ = 19925433000. Its totient is φ = 8618061312.

The previous prime is 13132001291. The next prime is 13132001327. The reversal of 13132001313 is 31310023131.

It is a happy number.

13132001313 is a `hidden beast` number, since 1 + 31 + 320 + 0 + 1 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 469675584 + 12662325729 = 21672^2 + 112527^2 .

It is not a de Polignac number, because 13132001313 - 2⁹ = 13132000801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132001213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1358983 + ... + 1368611.

It is an arithmetic number, because the mean of its divisors is an integer number (498135825).

Almost surely, 2^13132001313 is an apocalyptic number.

It is an amenable number.

13132001313 is a deficient number, since it is larger than the sum of its proper divisors (6793431687).

13132001313 is a wasteful number, since it uses less digits than its factorization.

13132001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9894 counting only the distinct ones).

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

Adding to 13132001313 its reverse (31310023131), we get a palindrome (44442024444).

The spelling of 13132001313 in words is "thirteen billion, one hundred thirty-two million, one thousand, three hundred thirteen".