2133132112313 has 2 divisors, whose sum is σ = 2133132112314. Its totient is φ = 2133132112312.

The previous prime is 2133132112291. The next prime is 2133132112387. The reversal of 2133132112313 is 3132112313312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1801479364864 + 331652747449 = 1342192^2 + 575893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133132112313 - 2⁸ = 2133132112057 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 (2133132142313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066566056156 + 1066566056157.

It is an arithmetic number, because the mean of its divisors is an integer number (1066566056157).

Almost surely, 2^{2133132112313} is an apocalyptic number.

It is an amenable number.

2133132112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133132112313 is an equidigital number, since it uses as much as digits as its factorization.

2133132112313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

Adding to 2133132112313 its reverse (3132112313312), we get a palindrome (5265244425625).

The spelling of 2133132112313 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred twelve thousand, three hundred thirteen".