31214222241213 has 96 divisors (see below), whose sum is σ = 46437876156672. Its totient is φ = 18633934725120.

The previous prime is 31214222241203. The next prime is 31214222241227.

31214222241213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31214222241213 - 2⁴ = 31214222241197 is a prime.

It is a super-2 number, since 2×31214222241213² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214222241203) 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 95 ways as a sum of consecutive naturals, for example, 16316895145 + ... + 16316897057.

It is an arithmetic number, because the mean of its divisors is an integer number (483727876632).

Almost surely, 2^{31214222241213} is an apocalyptic number.

31214222241213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31214222241213 is a deficient number, since it is larger than the sum of its proper divisors (15223653915459).

31214222241213 is a wasteful number, since it uses less digits than its factorization.

31214222241213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4136 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 3121422 and 2241213, that added together give a palindrome (5362635).

The spelling of 31214222241213 in words is "thirty-one trillion, two hundred fourteen billion, two hundred twenty-two million, two hundred forty-one thousand, two hundred thirteen".