100310133120 has 128 divisors (see below), whose sum is σ = 320227776000. Its totient is φ = 26708441088.

The previous prime is 100310133101. The next prime is 100310133127. The reversal of 100310133120 is 21331013001.

It is a tau number, because it is divible by the number of its divisors (128).

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 100310133120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225641 + ... + 1304919.

It is an arithmetic number, because the mean of its divisors is an integer number (2501779500).

Almost surely, 2^100310133120 is an apocalyptic number.

100310133120 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 100310133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160113888000).

100310133120 is an abundant number, since it is smaller than the sum of its proper divisors (219917642880).

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

100310133120 is an equidigital number, since it uses as much as digits as its factorization.

100310133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79960 (or 79948 counting only the distinct ones).

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

Adding to 100310133120 its reverse (21331013001), we get a palindrome (121641146121).

The spelling of 100310133120 in words is "one hundred billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty".