13312011021331 has 24 divisors (see below), whose sum is σ = 15508470660480. Its totient is φ = 11378529972480.

The previous prime is 13312011021329. The next prime is 13312011021341.

13312011021331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13312011021331 - 2¹ = 13312011021329 is a prime.

It is a super-2 number, since 2×13312011021331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13312011021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194691 + ... + 5296348.

It is an arithmetic number, because the mean of its divisors is an integer number (646186277520).

Almost surely, 2^{13312011021331} is an apocalyptic number.

13312011021331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312011021331 is a deficient number, since it is larger than the sum of its proper divisors (2196459639149).

13312011021331 is a wasteful number, since it uses less digits than its factorization.

13312011021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492075 (or 6492064 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1331201 and 1021331, that added together give a palindrome (2352532).

The spelling of 13312011021331 in words is "thirteen trillion, three hundred twelve billion, eleven million, twenty-one thousand, three hundred thirty-one".