1013040013 has 8 divisors (see below), whose sum is σ = 1098793080. Its totient is φ = 930193920.

The previous prime is 1013039987. The next prime is 1013040019. The reversal of 1013040013 is 3100403101.

1013040013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 266766889 + 746273124 = 16333^2 + 27318^2 .

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 1013040013 - 2⁵ = 1013039981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013039975 and 1013040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013040019) 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, 726018 + ... + 727411.

It is an arithmetic number, because the mean of its divisors is an integer number (137349135).

Almost surely, 2^1013040013 is an apocalyptic number.

It is an amenable number.

1013040013 is a deficient number, since it is larger than the sum of its proper divisors (85753067).

1013040013 is a wasteful number, since it uses less digits than its factorization.

1013040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453487.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1013040013 is about 31828.2895079205. The cubic root of 1013040013 is about 1004.3279131460.

Adding to 1013040013 its reverse (3100403101), we get a palindrome (4113443114).

The spelling of 1013040013 in words is "one billion, thirteen million, forty thousand, thirteen".