31212211221213 has 96 divisors (see below), whose sum is σ = 47487000704640. Its totient is φ = 18207489484800.

The previous prime is 31212211221187. The next prime is 31212211221259.

31212211221213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31212211221213 - 2¹⁴ = 31212211204829 is a prime.

It is a super-2 number, since 2×31212211221213² (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 (31212211221263) 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, 524571681 + ... + 524631177.

It is an arithmetic number, because the mean of its divisors is an integer number (494656257340).

Almost surely, 2^{31212211221213} is an apocalyptic number.

31212211221213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31212211221213 is a deficient number, since it is larger than the sum of its proper divisors (16274789483427).

31212211221213 is a wasteful number, since it uses less digits than its factorization.

31212211221213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59979 (or 59968 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 3121221 and 1221213, that added together give a palindrome (4342434).

The spelling of 31212211221213 in words is "thirty-one trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred thirteen".