2133310002013 has 2 divisors, whose sum is σ = 2133310002014. Its totient is φ = 2133310002012.

The previous prime is 2133310002011. The next prime is 2133310002053. The reversal of 2133310002013 is 3102000133312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1971112105369 + 162197896644 = 1403963^2 + 402738^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133310002013 - 2¹ = 2133310002011 is a prime.

Together with 2133310002011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133310002011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066655001006 + 1066655001007.

It is an arithmetic number, because the mean of its divisors is an integer number (1066655001007).

Almost surely, 2^{2133310002013} is an apocalyptic number.

It is an amenable number.

2133310002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133310002013 is an equidigital number, since it uses as much as digits as its factorization.

2133310002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2133310002013 its reverse (3102000133312), we get a palindrome (5235310135325).

The spelling of 2133310002013 in words is "two trillion, one hundred thirty-three billion, three hundred ten million, two thousand, thirteen".