2033032313 has 6 divisors (see below), whose sum is σ = 2201449374. Its totient is φ = 1876645056.

The previous prime is 2033032301. The next prime is 2033032349. The reversal of 2033032313 is 3132303302.

It can be written as a sum of positive squares in 3 ways, for example, as 288048784 + 1744983529 = 16972^2 + 41773^2 .

It is not a de Polignac number, because 2033032313 - 2¹⁸ = 2032770169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2033032213) 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, 6014720 + ... + 6015057.

It is an arithmetic number, because the mean of its divisors is an integer number (366908229).

Almost surely, 2^2033032313 is an apocalyptic number.

It is an amenable number.

2033032313 is a deficient number, since it is larger than the sum of its proper divisors (168417061).

2033032313 is a wasteful number, since it uses less digits than its factorization.

2033032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029803 (or 12029790 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2033032313 is about 45089.1595951843. The cubic root of 2033032313 is about 1266.8195602684.

Adding to 2033032313 its reverse (3132303302), we get a palindrome (5165335615).

The spelling of 2033032313 in words is "two billion, thirty-three million, thirty-two thousand, three hundred thirteen".