2003133013040 has 80 divisors (see below), whose sum is σ = 4671534901440. Its totient is φ = 798804357120.

The previous prime is 2003133013003. The next prime is 2003133013103. The reversal of 2003133013040 is 403103313002.

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 (20).

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, 46371932 + ... + 46415108.

It is an arithmetic number, because the mean of its divisors is an integer number (58394186268).

Almost surely, 2^{2003133013040} is an apocalyptic number.

2003133013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133013040 is an abundant number, since it is smaller than the sum of its proper divisors (2668401888400).

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

2003133013040 is a wasteful number, since it uses less digits than its factorization.

2003133013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44950 (or 44944 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2003133013040 its reverse (403103313002), we get a palindrome (2406236326042).

The spelling of 2003133013040 in words is "two trillion, three billion, one hundred thirty-three million, thirteen thousand, forty".