1013523313 has 16 divisors (see below), whose sum is σ = 1169559936. Its totient is φ = 869235840.

The previous prime is 1013523307. The next prime is 1013523319. The reversal of 1013523313 is 3133253101.

It is a happy number.

1013523313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013523307) and next prime (1013523319).

It is not a de Polignac number, because 1013523313 - 2²¹ = 1011426161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013523319) 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, 8970 + ... + 45907.

It is an arithmetic number, because the mean of its divisors is an integer number (73097496).

Almost surely, 2^1013523313 is an apocalyptic number.

It is an amenable number.

1013523313 is a deficient number, since it is larger than the sum of its proper divisors (156036623).

1013523313 is a wasteful number, since it uses less digits than its factorization.

1013523313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54984.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 1013523313 is about 31835.8809050417. The cubic root of 1013523313 is about 1004.4876023010.

Adding to 1013523313 its reverse (3133253101), we get a palindrome (4146776414).

The spelling of 1013523313 in words is "one billion, thirteen million, five hundred twenty-three thousand, three hundred thirteen".