10313312100 has 576 divisors, whose sum is σ = 39430809600. Its totient is φ = 2020515840.

The previous prime is 10313312071. The next prime is 10313312147. The reversal of 10313312100 is 121331301.

10313312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10313312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30603132 + ... + 30603468.

Almost surely, 2^10313312100 is an apocalyptic number.

10313312100 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 10313312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715404800).

10313312100 is an abundant number, since it is smaller than the sum of its proper divisors (29117497500).

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

10313312100 is a wasteful number, since it uses less digits than its factorization.

10313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10313312100 its reverse (121331301), we get a palindrome (10434643401).

The spelling of 10313312100 in words is "ten billion, three hundred thirteen million, three hundred twelve thousand, one hundred".