1013103313 has 16 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 925307712.

The previous prime is 1013103269. The next prime is 1013103341. The reversal of 1013103313 is 3133013101.

It is a cyclic number.

It is not a de Polignac number, because 1013103313 - 2¹³ = 1013095121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013103353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653263 + ... + 654811.

It is an arithmetic number, because the mean of its divisors is an integer number (69052500).

Almost surely, 2^1013103313 is an apocalyptic number.

It is an amenable number.

1013103313 is a deficient number, since it is larger than the sum of its proper divisors (91736687).

1013103313 is a wasteful number, since it uses less digits than its factorization.

1013103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1013103313 is about 31829.2838907821. The cubic root of 1013103313 is about 1004.3488312512.

Adding to 1013103313 its reverse (3133013101), we get a palindrome (4146116414).

The spelling of 1013103313 in words is "one billion, thirteen million, one hundred three thousand, three hundred thirteen".