2133013313 has 2 divisors, whose sum is σ = 2133013314. Its totient is φ = 2133013312.

The previous prime is 2133013303. The next prime is 2133013327. The reversal of 2133013313 is 3133103312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088764209 + 44249104 = 45703^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133013313 - 2⁴ = 2133013297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2133013303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066506656 + 1066506657.

It is an arithmetic number, because the mean of its divisors is an integer number (1066506657).

Almost surely, 2^2133013313 is an apocalyptic number.

It is an amenable number.

2133013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133013313 is an equidigital number, since it uses as much as digits as its factorization.

2133013313 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 20.

The square root of 2133013313 is about 46184.5570835101. The cubic root of 2133013313 is about 1287.2548062063.

Adding to 2133013313 its reverse (3133103312), we get a palindrome (5266116625).

It can be divided in two parts, 21330 and 13313, that added together give a palindrome (34643).

The spelling of 2133013313 in words is "two billion, one hundred thirty-three million, thirteen thousand, three hundred thirteen".