31431123320322 has 192 divisors, whose sum is σ = 72921728476800. Its totient is φ = 8955387648000.

The previous prime is 31431123320287. The next prime is 31431123320393. The reversal of 31431123320322 is 22302332113413.

It is a self number, because there is not a number n which added to its sum of digits gives 31431123320322.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5513262072 + ... + 5513267772.

It is an arithmetic number, because the mean of its divisors is an integer number (379800669150).

Almost surely, 2^{31431123320322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431123320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460864238400).

31431123320322 is an abundant number, since it is smaller than the sum of its proper divisors (41490605156478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31431123320322 is a wasteful number, since it uses less digits than its factorization.

31431123320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 31431123320322 its reverse (22302332113413), we get a palindrome (53733455433735).

The spelling of 31431123320322 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred twenty-three million, three hundred twenty thousand, three hundred twenty-two".