13132312013 has 4 divisors (see below), whose sum is σ = 13452612348. Its totient is φ = 12812011680.

The previous prime is 13132311979. The next prime is 13132312027. The reversal of 13132312013 is 31021323131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31021323131 = 2689 ⋅11536379.

It can be written as a sum of positive squares in 2 ways, for example, as 405539044 + 12726772969 = 20138^2 + 112813^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13132312013 is a prime.

It is a super-2 number, since 2×13132312013² (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 (13132312513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160150106 + ... + 160150187.

It is an arithmetic number, because the mean of its divisors is an integer number (3363153087).

Almost surely, 2^13132312013 is an apocalyptic number.

It is an amenable number.

13132312013 is a deficient number, since it is larger than the sum of its proper divisors (320300335).

13132312013 is an equidigital number, since it uses as much as digits as its factorization.

13132312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320300334.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13132312013 its reverse (31021323131), we get a palindrome (44153635144).

The spelling of 13132312013 in words is "thirteen billion, one hundred thirty-two million, three hundred twelve thousand, thirteen".