10312313330100 has 72 divisors (see below), whose sum is σ = 29855597744448. Its totient is φ = 2748232448000.

The previous prime is 10312313330093. The next prime is 10312313330141. The reversal of 10312313330100 is 103331321301.

It is a super-3 number, since 3×10312313330100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10254984 + ... + 11215583.

It is an arithmetic number, because the mean of its divisors is an integer number (414661079784).

Almost surely, 2^{10312313330100} is an apocalyptic number.

10312313330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312313330100 is an abundant number, since it is smaller than the sum of its proper divisors (19543284414348).

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

10312313330100 is a wasteful number, since it uses less digits than its factorization.

10312313330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21472185 (or 21472178 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10312313330100 its reverse (103331321301), we get a palindrome (10415644651401).

The spelling of 10312313330100 in words is "ten trillion, three hundred twelve billion, three hundred thirteen million, three hundred thirty thousand, one hundred".