10031313222120 has 256 divisors, whose sum is σ = 32383882944000. Its totient is φ = 2476755025920.

The previous prime is 10031313222113. The next prime is 10031313222149. The reversal of 10031313222120 is 2122231313001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66116106 + ... + 66267654.

It is an arithmetic number, because the mean of its divisors is an integer number (126499542750).

Almost surely, 2^{10031313222120} is an apocalyptic number.

10031313222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031313222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191941472000).

10031313222120 is an abundant number, since it is smaller than the sum of its proper divisors (22352569721880).

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

10031313222120 is a wasteful number, since it uses less digits than its factorization.

10031313222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152108 (or 152104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10031313222120 its reverse (2122231313001), we get a palindrome (12153544535121).

The spelling of 10031313222120 in words is "ten trillion, thirty-one billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".