31222144122213 has 64 divisors (see below), whose sum is σ = 46728169205760. Its totient is φ = 18382739270400.

The previous prime is 31222144122209. The next prime is 31222144122227.

31222144122213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31222144122213 - 2² = 31222144122209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222144122233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619670820 + ... + 619721202.

It is an arithmetic number, because the mean of its divisors is an integer number (730127643840).

Almost surely, 2^{31222144122213} is an apocalyptic number.

31222144122213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31222144122213 is a deficient number, since it is larger than the sum of its proper divisors (15506025083547).

31222144122213 is a wasteful number, since it uses less digits than its factorization.

31222144122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54250.

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

It can be divided in two parts, 3122214 and 4122213, that added together give a palindrome (7244427).

The spelling of 31222144122213 in words is "thirty-one trillion, two hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred thirteen".