1013110013 has 2 divisors, whose sum is σ = 1013110014. Its totient is φ = 1013110012.

The previous prime is 1013109997. The next prime is 1013110079. The reversal of 1013110013 is 3100113101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007554564 + 5555449 = 31742^2 + 2357^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013110013 - 2⁴ = 1013109997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013109976 and 1013110003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013110313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506555006 + 506555007.

It is an arithmetic number, because the mean of its divisors is an integer number (506555007).

Almost surely, 2^1013110013 is an apocalyptic number.

It is an amenable number.

1013110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013110013 is an equidigital number, since it uses as much as digits as its factorization.

1013110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1013110013 is about 31829.3891395986. The cubic root of 1013110013 is about 1004.3510452809.

Adding to 1013110013 its reverse (3100113101), we get a palindrome (4113223114).

The spelling of 1013110013 in words is "one billion, thirteen million, one hundred ten thousand, thirteen".