31221200212213 has 32 divisors (see below), whose sum is σ = 35042788730880. Its totient is φ = 27572570501760.

The previous prime is 31221200212151. The next prime is 31221200212229.

31221200212213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31221200212213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221200212283) 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 31 ways as a sum of consecutive naturals, for example, 313488481 + ... + 313588057.

It is an arithmetic number, because the mean of its divisors is an integer number (1095087147840).

Almost surely, 2^{31221200212213} is an apocalyptic number.

It is an amenable number.

31221200212213 is a deficient number, since it is larger than the sum of its proper divisors (3821588518667).

31221200212213 is a wasteful number, since it uses less digits than its factorization.

31221200212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104137.

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 31221200212213 by its sum of digits (22), we get a palindrome (686866404668686).

It can be divided in two parts, 31221200 and 212213, that added together give a palindrome (31433413).

The spelling of 31221200212213 in words is "thirty-one trillion, two hundred twenty-one billion, two hundred million, two hundred twelve thousand, two hundred thirteen".