1038413103 has 64 divisors (see below), whose sum is σ = 1761779712. Its totient is φ = 529390080.

The previous prime is 1038413093. The next prime is 1038413111. The reversal of 1038413103 is 3013148301.

It is not a de Polignac number, because 1038413103 - 2¹² = 1038409007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038413183) 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, 2252293 + ... + 2252753.

It is an arithmetic number, because the mean of its divisors is an integer number (27527808).

Almost surely, 2^1038413103 is an apocalyptic number.

1038413103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1038413103 is a deficient number, since it is larger than the sum of its proper divisors (723366609).

1038413103 is a wasteful number, since it uses less digits than its factorization.

1038413103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1038413103 is about 32224.4178069985. The cubic root of 1038413103 is about 1012.6438275181.

The spelling of 1038413103 in words is "one billion, thirty-eight million, four hundred thirteen thousand, one hundred three".