2133132213013 has 2 divisors, whose sum is σ = 2133132213014. Its totient is φ = 2133132213012.

The previous prime is 2133132213011. The next prime is 2133132213031. The reversal of 2133132213013 is 3103122313312.

Together with next prime (2133132213031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2027300411889 + 105831801124 = 1423833^2 + 325318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133132213013 - 2¹ = 2133132213011 is a prime.

Together with 2133132213011, 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 (2133132213011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066566106506 + 1066566106507.

It is an arithmetic number, because the mean of its divisors is an integer number (1066566106507).

Almost surely, 2^{2133132213013} is an apocalyptic number.

It is an amenable number.

2133132213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133132213013 is an equidigital number, since it uses as much as digits as its factorization.

2133132213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2133132213013 its reverse (3103122313312), we get a palindrome (5236254526325).

The spelling of 2133132213013 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred thirteen thousand, thirteen".