100312431023310 has 128 divisors (see below), whose sum is σ = 266323581020160. Its totient is φ = 23977579392000.

The previous prime is 100312431023279. The next prime is 100312431023323. The reversal of 100312431023310 is 13320134213001.

It is a super-2 number, since 2×100312431023310² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 16484610 + ... + 21734010.

It is an arithmetic number, because the mean of its divisors is an integer number (2080652976720).

Almost surely, 2^{100312431023310} is an apocalyptic number.

100312431023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312431023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133161790510080).

100312431023310 is an abundant number, since it is smaller than the sum of its proper divisors (166011149996850).

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

100312431023310 is a wasteful number, since it uses less digits than its factorization.

100312431023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250234.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100312431023310 its reverse (13320134213001), we get a palindrome (113632565236311).

The spelling of 100312431023310 in words is "one hundred trillion, three hundred twelve billion, four hundred thirty-one million, twenty-three thousand, three hundred ten".