13221312013 has 48 divisors (see below), whose sum is σ = 17314590720. Its totient is φ = 9829112832.

The previous prime is 13221312007. The next prime is 13221312031. The reversal of 13221312013 is 31021312231.

It is not a de Polignac number, because 13221312013 - 2⁵ = 13221311981 is a prime.

It is a super-3 number, since 3×13221312013³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221312113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4170493 + ... + 4173661.

It is an arithmetic number, because the mean of its divisors is an integer number (360720640).

Almost surely, 2^13221312013 is an apocalyptic number.

13221312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13221312013 is a deficient number, since it is larger than the sum of its proper divisors (4093278707).

13221312013 is a wasteful number, since it uses less digits than its factorization.

13221312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13221312013 its reverse (31021312231), we get a palindrome (44242624244).

The spelling of 13221312013 in words is "thirteen billion, two hundred twenty-one million, three hundred twelve thousand, thirteen".