13221312313 has 8 divisors (see below), whose sum is σ = 14442935616. Its totient is φ = 12002970000.

The previous prime is 13221312289. The next prime is 13221312329. The reversal of 13221312313 is 31321312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221312313 - 2⁵ = 13221312281 is a prime.

It is a super-3 number, since 3×13221312313³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13221312343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811813 + ... + 827938.

It is an arithmetic number, because the mean of its divisors is an integer number (1805366952).

Almost surely, 2^13221312313 is an apocalyptic number.

It is an amenable number.

13221312313 is a deficient number, since it is larger than the sum of its proper divisors (1221623303).

13221312313 is a wasteful number, since it uses less digits than its factorization.

13221312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640495.

The product of its digits is 648, while the sum is 22.

Adding to 13221312313 its reverse (31321312231), we get a palindrome (44542624544).

The spelling of 13221312313 in words is "thirteen billion, two hundred twenty-one million, three hundred twelve thousand, three hundred thirteen".