31312444421313 has 72 divisors (see below), whose sum is σ = 51061183224480. Its totient is φ = 18325623254400.

The previous prime is 31312444421311. The next prime is 31312444421351.

31312444421313 is a `hidden beast` number, since 3 + 1 + 312 + 4 + 4 + 4 + 4 + 21 + 313 = 666.

31312444421313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31312444421313 - 2¹ = 31312444421311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31312444421311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3444329898 + ... + 3444338988.

It is an arithmetic number, because the mean of its divisors is an integer number (709183100340).

Almost surely, 2^{31312444421313} is an apocalyptic number.

31312444421313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31312444421313 is a deficient number, since it is larger than the sum of its proper divisors (19748738803167).

31312444421313 is an frugal number, since it uses more digits than its factorization.

31312444421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18331 (or 9237 counting only the distinct ones).

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

It can be divided in two parts, 3131244 and 4421313, that added together give a palindrome (7552557).

The spelling of 31312444421313 in words is "thirty-one trillion, three hundred twelve billion, four hundred forty-four million, four hundred twenty-one thousand, three hundred thirteen".