1013116013 has 16 divisors (see below), whose sum is σ = 1272364800. Its totient is φ = 801582768.

The previous prime is 1013115979. The next prime is 1013116033. The reversal of 1013116013 is 3106113101.

It is not a de Polignac number, because 1013116013 - 2¹⁸ = 1012853869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013115982 and 1013116000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013116033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109145 + ... + 118062.

It is an arithmetic number, because the mean of its divisors is an integer number (79522800).

Almost surely, 2^1013116013 is an apocalyptic number.

1013116013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013116013 is a deficient number, since it is larger than the sum of its proper divisors (259248787).

1013116013 is an equidigital number, since it uses as much as digits as its factorization.

1013116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227241 (or 227227 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1013116013 is about 31829.4833919748. The cubic root of 1013116013 is about 1004.3530279857.

Adding to 1013116013 its reverse (3106113101), we get a palindrome (4119229114).

The spelling of 1013116013 in words is "one billion, thirteen million, one hundred sixteen thousand, thirteen".