100103130000 has 600 divisors, whose sum is σ = 375455665728. Its totient is φ = 24824448000.

The previous prime is 100103129993. The next prime is 100103130011. The reversal of 100103130000 is 31301001.

100103130000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76589347 + ... + 76590653.

Almost surely, 2^100103130000 is an apocalyptic number.

100103130000 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 100103130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187727832864).

100103130000 is an abundant number, since it is smaller than the sum of its proper divisors (275352535728).

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

100103130000 is a wasteful number, since it uses less digits than its factorization.

100103130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100103130000 its reverse (31301001), we get a palindrome (100134431001).

The spelling of 100103130000 in words is "one hundred billion, one hundred three million, one hundred thirty thousand".