1003001413 has 2 divisors, whose sum is σ = 1003001414. Its totient is φ = 1003001412.

The previous prime is 1003001399. The next prime is 1003001473. The reversal of 1003001413 is 3141003001.

1003001413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 691584804 + 311416609 = 26298^2 + 17647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003001413 - 2²⁹ = 466130501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003001393 and 1003001402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003001473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501500706 + 501500707.

It is an arithmetic number, because the mean of its divisors is an integer number (501500707).

Almost surely, 2^1003001413 is an apocalyptic number.

It is an amenable number.

1003001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003001413 is an equidigital number, since it uses as much as digits as its factorization.

1003001413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1003001413 is about 31670.1975522730. The cubic root of 1003001413 is about 1000.9994717235. Note that the first 3 decimals are identical.

Adding to 1003001413 its reverse (3141003001), we get a palindrome (4144004414).

The spelling of 1003001413 in words is "one billion, three million, one thousand, four hundred thirteen".