13321132312133 has 2 divisors, whose sum is σ = 13321132312134. Its totient is φ = 13321132312132.

The previous prime is 13321132312099. The next prime is 13321132312157. The reversal of 13321132312133 is 33121323112331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8535179779009 + 4785952533124 = 2921503^2 + 2187682^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321132312133 - 2¹² = 13321132308037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13321132312096 and 13321132312105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13321132312193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660566156066 + 6660566156067.

It is an arithmetic number, because the mean of its divisors is an integer number (6660566156067).

Almost surely, 2^{13321132312133} is an apocalyptic number.

It is an amenable number.

13321132312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321132312133 is an equidigital number, since it uses as much as digits as its factorization.

13321132312133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 29.

Adding to 13321132312133 its reverse (33121323112331), we get a palindrome (46442455424464).

The spelling of 13321132312133 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-two million, three hundred twelve thousand, one hundred thirty-three".