1003400313 has 16 divisors (see below), whose sum is σ = 1373102016. Its totient is φ = 651409920.

The previous prime is 1003400309. The next prime is 1003400327. The reversal of 1003400313 is 3130043001.

It is not a de Polignac number, because 1003400313 - 2² = 1003400309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003400292 and 1003400301.

It is not an unprimeable number, because it can be changed into a prime (1003400303) 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 15 ways as a sum of consecutive naturals, for example, 31933 + ... + 55013.

It is an arithmetic number, because the mean of its divisors is an integer number (85818876).

Almost surely, 2^1003400313 is an apocalyptic number.

It is an amenable number.

1003400313 is a deficient number, since it is larger than the sum of its proper divisors (369701703).

1003400313 is a wasteful number, since it uses less digits than its factorization.

1003400313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23464.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1003400313 is about 31676.4946450834. The cubic root of 1003400313 is about 1001.1321554071.

Adding to 1003400313 its reverse (3130043001), we get a palindrome (4133443314).

The spelling of 1003400313 in words is "one billion, three million, four hundred thousand, three hundred thirteen".