1003000133113 has 64 divisors (see below), whose sum is σ = 1154454681600. Its totient is φ = 863400384000.

The previous prime is 1003000133081. The next prime is 1003000133117. The reversal of 1003000133113 is 3113310003001.

It is not a de Polignac number, because 1003000133113 - 2⁵ = 1003000133081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003000133117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589540308 + ... + 1589540938.

It is an arithmetic number, because the mean of its divisors is an integer number (18038354400).

Almost surely, 2^{1003000133113} is an apocalyptic number.

It is an amenable number.

1003000133113 is a deficient number, since it is larger than the sum of its proper divisors (151454548487).

1003000133113 is a wasteful number, since it uses less digits than its factorization.

1003000133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1003000133113 its reverse (3113310003001), we get a palindrome (4116310136114).

The spelling of 1003000133113 in words is "one trillion, three billion, one hundred thirty-three thousand, one hundred thirteen".