13021331013 has 20 divisors (see below), whose sum is σ = 19515015520. Its totient is φ = 8652594312.

The previous prime is 13021330997. The next prime is 13021331039. The reversal of 13021331013 is 31013312031.

It is a happy number.

13021331013 is a `hidden beast` number, since 130 + 213 + 310 + 13 = 666.

It is not a de Polignac number, because 13021331013 - 2⁴ = 13021330997 is a prime.

It is a super-2 number, since 2×13021331013² (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 (13021335013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 236953 + ... + 286686.

It is an arithmetic number, because the mean of its divisors is an integer number (975750776).

Almost surely, 2^13021331013 is an apocalyptic number.

It is an amenable number.

13021331013 is a deficient number, since it is larger than the sum of its proper divisors (6493684507).

13021331013 is an equidigital number, since it uses as much as digits as its factorization.

13021331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523958 (or 523949 counting only the distinct ones).

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

Adding to 13021331013 its reverse (31013312031), we get a palindrome (44034643044).

The spelling of 13021331013 in words is "thirteen billion, twenty-one million, three hundred thirty-one thousand, thirteen".