10313120100 has 144 divisors (see below), whose sum is σ = 30425927616. Its totient is φ = 2696640000.

The previous prime is 10313120087. The next prime is 10313120177. The reversal of 10313120100 is 102131301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240510 + ... + 3243690.

It is an arithmetic number, because the mean of its divisors is an integer number (211291164).

Almost surely, 2^10313120100 is an apocalyptic number.

10313120100 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 10313120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212963808).

10313120100 is an abundant number, since it is smaller than the sum of its proper divisors (20112807516).

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

10313120100 is a wasteful number, since it uses less digits than its factorization.

10313120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3399 counting only the distinct ones).

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

Adding to 10313120100 its reverse (102131301), we get a palindrome (10415251401).

The spelling of 10313120100 in words is "ten billion, three hundred thirteen million, one hundred twenty thousand, one hundred".