12313133131321 has 8 divisors (see below), whose sum is σ = 13565504009088. Its totient is φ = 11082928110000.

The previous prime is 12313133131267. The next prime is 12313133131399.

It is a happy number.

12313133131321 is nontrivially palindromic in base 10.

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 12313133131321 - 2¹⁹ = 12313132607033 is a prime.

It is a super-3 number, since 3×12313133131321³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12313133131321.

It is not an unprimeable number, because it can be changed into a prime (12313133131921) 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, 5541462945 + ... + 5541465166.

It is an arithmetic number, because the mean of its divisors is an integer number (1695688001136).

Almost surely, 2^{12313133131321} is an apocalyptic number.

12313133131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12313133131321 is a deficient number, since it is larger than the sum of its proper divisors (1252370877767).

12313133131321 is a wasteful number, since it uses less digits than its factorization.

12313133131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11082928223.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1231313 and 3131321, that added together give a palindrome (4362634).

The spelling of 12313133131321 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty-one".