100312001310 has 128 divisors (see below), whose sum is σ = 255540510720. Its totient is φ = 25164172800.

The previous prime is 100312001297. The next prime is 100312001381. The reversal of 100312001310 is 13100213001.

It is a super-2 number, since 2×100312001310² (a number of 23 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 63 ways as a sum of consecutive naturals, for example, 5363275 + ... + 5381945.

It is an arithmetic number, because the mean of its divisors is an integer number (1996410240).

Almost surely, 2^100312001310 is an apocalyptic number.

100312001310 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 100312001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127770255360).

100312001310 is an abundant number, since it is smaller than the sum of its proper divisors (155228509410).

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

100312001310 is a wasteful number, since it uses less digits than its factorization.

100312001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100312001310 its reverse (13100213001), we get a palindrome (113412214311).

The spelling of 100312001310 in words is "one hundred billion, three hundred twelve million, one thousand, three hundred ten".