1003114113000 has 128 divisors (see below), whose sum is σ = 3169333440000. Its totient is φ = 264110995200.

The previous prime is 1003114112999. The next prime is 1003114113007. The reversal of 1003114113000 is 3114113001.

1003114113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1003114113007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879275 + ... + 2353274.

It is an arithmetic number, because the mean of its divisors is an integer number (24760417500).

Almost surely, 2^{1003114113000} is an apocalyptic number.

1003114113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003114113000 is an abundant number, since it is smaller than the sum of its proper divisors (2166219327000).

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

1003114113000 is a wasteful number, since it uses less digits than its factorization.

1003114113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232652 (or 4232638 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003114113000 its reverse (3114113001), we get a palindrome (1006228226001).

Subtracting from 1003114113000 its reverse (3114113001), we obtain a palindrome (999999999999).

The spelling of 1003114113000 in words is "one trillion, three billion, one hundred fourteen million, one hundred thirteen thousand".