31322300322313 has 128 divisors (see below), whose sum is σ = 45349061345280. Its totient is φ = 20823917425920.

The previous prime is 31322300322307. The next prime is 31322300322329.

31322300322313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31322300322313 - 2⁹ = 31322300321801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31322300325313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 741738906 + ... + 741781132.

It is an arithmetic number, because the mean of its divisors is an integer number (354289541760).

Almost surely, 2^{31322300322313} is an apocalyptic number.

It is an amenable number.

31322300322313 is a deficient number, since it is larger than the sum of its proper divisors (14026761022967).

31322300322313 is a wasteful number, since it uses less digits than its factorization.

31322300322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43227.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 31322300 and 322313, that added together give a palindrome (31644613).

The spelling of 31322300322313 in words is "thirty-one trillion, three hundred twenty-two billion, three hundred million, three hundred twenty-two thousand, three hundred thirteen".