1004101013 has 2 divisors, whose sum is σ = 1004101014. Its totient is φ = 1004101012.

The previous prime is 1004101001. The next prime is 1004101019. The reversal of 1004101013 is 3101014001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999002449 + 5098564 = 31607^2 + 2258^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004101013 - 2²⁰ = 1003052437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004100985 and 1004101003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004101019) 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 as a sum of consecutive naturals, namely, 502050506 + 502050507.

It is an arithmetic number, because the mean of its divisors is an integer number (502050507).

Almost surely, 2^1004101013 is an apocalyptic number.

It is an amenable number.

1004101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004101013 is an equidigital number, since it uses as much as digits as its factorization.

1004101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1004101013 is about 31687.5529664252. The cubic root of 1004101013 is about 1001.3651398784.

Adding to 1004101013 its reverse (3101014001), we get a palindrome (4105115014).

The spelling of 1004101013 in words is "one billion, four million, one hundred one thousand, thirteen".