1013130013 has 8 divisors (see below), whose sum is σ = 1208204928. Its totient is φ = 830640624.

The previous prime is 1013130007. The next prime is 1013130017. The reversal of 1013130013 is 3100313101.

It is a happy number.

1013130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013130013 - 2²¹ = 1011032861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013129975 and 1013130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013130017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3146206 + ... + 3146527.

It is an arithmetic number, because the mean of its divisors is an integer number (151025616).

Almost surely, 2^1013130013 is an apocalyptic number.

It is an amenable number.

1013130013 is a deficient number, since it is larger than the sum of its proper divisors (195074915).

1013130013 is an equidigital number, since it uses as much as digits as its factorization.

1013130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292763.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1013130013 is about 31829.7033131005. The cubic root of 1013130013 is about 1004.3576542666.

Adding to 1013130013 its reverse (3100313101), we get a palindrome (4113443114).

The spelling of 1013130013 in words is "one billion, thirteen million, one hundred thirty thousand, thirteen".