100313201120 has 144 divisors (see below), whose sum is σ = 264065190480. Its totient is φ = 35977328640.

The previous prime is 100313201113. The next prime is 100313201141. The reversal of 100313201120 is 21102313001.

It is a junction number, because it is equal to n+sod(n) for n = 100313201095 and 100313201104.

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, 1377791 + ... + 1448769.

It is an arithmetic number, because the mean of its divisors is an integer number (1833786045).

Almost surely, 2^100313201120 is an apocalyptic number.

100313201120 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 100313201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132032595240).

100313201120 is an abundant number, since it is smaller than the sum of its proper divisors (163751989360).

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

100313201120 is a wasteful number, since it uses less digits than its factorization.

100313201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71089 (or 71070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100313201120 its reverse (21102313001), we get a palindrome (121415514121).

The spelling of 100313201120 in words is "one hundred billion, three hundred thirteen million, two hundred one thousand, one hundred twenty".