1003400414313 has 16 divisors (see below), whose sum is σ = 1459631637696. Its totient is φ = 608063077440.

The previous prime is 1003400414279. The next prime is 1003400414327. The reversal of 1003400414313 is 3134140043001.

It is not a de Polignac number, because 1003400414313 - 2²⁰ = 1003399365737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003400413313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109470 + ... + 1799367.

It is an arithmetic number, because the mean of its divisors is an integer number (91226977356).

Almost surely, 2^{1003400414313} is an apocalyptic number.

It is an amenable number.

1003400414313 is a deficient number, since it is larger than the sum of its proper divisors (456231223383).

1003400414313 is a wasteful number, since it uses less digits than its factorization.

1003400414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919304.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1003400414313 its reverse (3134140043001), we get a palindrome (4137540457314).

The spelling of 1003400414313 in words is "one trillion, three billion, four hundred million, four hundred fourteen thousand, three hundred thirteen".