100113132003000 has 128 divisors (see below), whose sum is σ = 312668170813440. Its totient is φ = 26669895120000.

The previous prime is 100113132002993. The next prime is 100113132003013. The reversal of 100113132003000 is 300231311001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13864056 + ... + 19810055.

It is an arithmetic number, because the mean of its divisors is an integer number (2442720084480).

Almost surely, 2^{100113132003000} is an apocalyptic number.

100113132003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113132003000 is an abundant number, since it is smaller than the sum of its proper divisors (212555038810440).

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

100113132003000 is a wasteful number, since it uses less digits than its factorization.

100113132003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33675126 (or 33675112 counting only the distinct ones).

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

Adding to 100113132003000 its reverse (300231311001), we get a palindrome (100413363314001).

The spelling of 100113132003000 in words is "one hundred trillion, one hundred thirteen billion, one hundred thirty-two million, three thousand".