1013033313 has 6 divisors (see below), whose sum is σ = 1463270354. Its totient is φ = 675355536.

The previous prime is 1013033291. The next prime is 1013033339. The reversal of 1013033313 is 3133303101.

It can be written as a sum of positive squares in only one way, i.e., 818932689 + 194100624 = 28617^2 + 13932^2 .

It is not a de Polignac number, because 1013033313 - 2¹⁶ = 1012967777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013033513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56279620 + ... + 56279637.

Almost surely, 2^1013033313 is an apocalyptic number.

It is an amenable number.

1013033313 is a deficient number, since it is larger than the sum of its proper divisors (450237041).

1013033313 is a wasteful number, since it uses less digits than its factorization.

1013033313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112559263 (or 112559260 counting only the distinct ones).

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

The square root of 1013033313 is about 31828.1842554677. The cubic root of 1013033313 is about 1004.3256990144.

Adding to 1013033313 its reverse (3133303101), we get a palindrome (4146336414).

The spelling of 1013033313 in words is "one billion, thirteen million, thirty-three thousand, three hundred thirteen".