100003013331120 has 80 divisors (see below), whose sum is σ = 344454823703520. Its totient is φ = 26667470221056.

The previous prime is 100003013331103. The next prime is 100003013331283. The reversal of 100003013331120 is 21133310300001.

It is a happy number.

100003013331120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 301 + 33 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100003013331093 and 100003013331102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23148843519 + ... + 23148847838.

It is an arithmetic number, because the mean of its divisors is an integer number (4305685296294).

Almost surely, 2^{100003013331120} is an apocalyptic number.

100003013331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100003013331120 is an abundant number, since it is smaller than the sum of its proper divisors (244451810372400).

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

100003013331120 is a wasteful number, since it uses less digits than its factorization.

100003013331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46297691379 (or 46297691367 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100003013331120 its reverse (21133310300001), we get a palindrome (121136323631121).

The spelling of 100003013331120 in words is "one hundred trillion, three billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".