1013333013 has 72 divisors (see below), whose sum is σ = 1848951104. Its totient is φ = 523480320.

The previous prime is 1013332987. The next prime is 1013333033. The reversal of 1013333013 is 3103333101.

1013333013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013333013 - 2⁹ = 1013332501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013333033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2340045 + ... + 2340477.

Almost surely, 2^1013333013 is an apocalyptic number.

It is an amenable number.

1013333013 is a deficient number, since it is larger than the sum of its proper divisors (835618091).

1013333013 is a wasteful number, since it uses less digits than its factorization.

1013333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1013333013 is about 31832.8919986859. The cubic root of 1013333013 is about 1004.4247305501.

Adding to 1013333013 its reverse (3103333101), we get a palindrome (4116666114).

The spelling of 1013333013 in words is "one billion, thirteen million, three hundred thirty-three thousand, thirteen".