31321444412313 has 96 divisors (see below), whose sum is σ = 51071267729664. Its totient is φ = 18332064000000.

The previous prime is 31321444412303. The next prime is 31321444412443.

31321444412313 is a `hidden beast` number, since 3 + 1 + 321 + 4 + 4 + 4 + 4 + 12 + 313 = 666.

31321444412313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31321444412313 - 2¹⁷ = 31321444281241 is a prime.

It is a super-3 number, since 3×31321444412313³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (31321444412303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2954569213 + ... + 2954579813.

It is an arithmetic number, because the mean of its divisors is an integer number (531992372184).

Almost surely, 2^{31321444412313} is an apocalyptic number.

31321444412313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31321444412313 is a deficient number, since it is larger than the sum of its proper divisors (19749823317351).

31321444412313 is a wasteful number, since it uses less digits than its factorization.

31321444412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17964 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3132144 and 4412313, that added together give a palindrome (7544457).

The spelling of 31321444412313 in words is "thirty-one trillion, three hundred twenty-one billion, four hundred forty-four million, four hundred twelve thousand, three hundred thirteen".