2003400113 has 32 divisors (see below), whose sum is σ = 2451762432. Its totient is φ = 1612396800.

The previous prime is 2003400083. The next prime is 2003400137. The reversal of 2003400113 is 3110043002.

It is a cyclic number.

It is not a de Polignac number, because 2003400113 - 2¹⁰ = 2003399089 is a prime.

It is a super-2 number, since 2×2003400113² = 8027224025536825538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003400163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372995 + ... + 378327.

It is an arithmetic number, because the mean of its divisors is an integer number (76617576).

Almost surely, 2^2003400113 is an apocalyptic number.

It is an amenable number.

2003400113 is a deficient number, since it is larger than the sum of its proper divisors (448362319).

2003400113 is a wasteful number, since it uses less digits than its factorization.

2003400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2003400113 is about 44759.3578260457. The cubic root of 2003400113 is about 1260.6346246652.

Adding to 2003400113 its reverse (3110043002), we get a palindrome (5113443115).

The spelling of 2003400113 in words is "two billion, three million, four hundred thousand, one hundred thirteen".