10031313202112 has 112 divisors (see below), whose sum is σ = 20441867980800. Its totient is φ = 4882447964160.

The previous prime is 10031313202087. The next prime is 10031313202121. The reversal of 10031313202112 is 21120231313001.

It is a happy number.

It is a super-2 number, since 2×10031313202112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756486937 + ... + 1756492647.

It is an arithmetic number, because the mean of its divisors is an integer number (182516678400).

Almost surely, 2^{10031313202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031313202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220933990400).

10031313202112 is an abundant number, since it is smaller than the sum of its proper divisors (10410554778688).

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

10031313202112 is an equidigital number, since it uses as much as digits as its factorization.

10031313202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10031313202112 its reverse (21120231313001), we get a palindrome (31151544515113).

The spelling of 10031313202112 in words is "ten trillion, thirty-one billion, three hundred thirteen million, two hundred two thousand, one hundred twelve".