2135305013 has 2 divisors, whose sum is σ = 2135305014. Its totient is φ = 2135305012.

The previous prime is 2135304991. The next prime is 2135305031. The reversal of 2135305013 is 3105035312.

Together with next prime (2135305031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2020772209 + 114532804 = 44953^2 + 10702^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135305013 - 2¹⁴ = 2135288629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2135305013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2135385013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067652506 + 1067652507.

It is an arithmetic number, because the mean of its divisors is an integer number (1067652507).

Almost surely, 2^2135305013 is an apocalyptic number.

It is an amenable number.

2135305013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135305013 is an equidigital number, since it uses as much as digits as its factorization.

2135305013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 2135305013 is about 46209.3606642637. The cubic root of 2135305013 is about 1287.7156481464.

The spelling of 2135305013 in words is "two billion, one hundred thirty-five million, three hundred five thousand, thirteen".