2033013313 has 2 divisors, whose sum is σ = 2033013314. Its totient is φ = 2033013312.

The previous prime is 2033013299. The next prime is 2033013317. The reversal of 2033013313 is 3133103302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1819619649 + 213393664 = 42657^2 + 14608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2033013313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033013317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016506656 + 1016506657.

It is an arithmetic number, because the mean of its divisors is an integer number (1016506657).

Almost surely, 2^2033013313 is an apocalyptic number.

It is an amenable number.

2033013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033013313 is an equidigital number, since it uses as much as digits as its factorization.

2033013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 2033013313 is about 45088.9489010334. The cubic root of 2033013313 is about 1266.8156138404.

Adding to 2033013313 its reverse (3133103302), we get a palindrome (5166116615).

The spelling of 2033013313 in words is "two billion, thirty-three million, thirteen thousand, three hundred thirteen".