13133102032133 has 2 divisors, whose sum is σ = 13133102032134. Its totient is φ = 13133102032132.

The previous prime is 13133102032129. The next prime is 13133102032157. The reversal of 13133102032133 is 33123020133131.

13133102032133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12985659087844 + 147442944289 = 3603562^2 + 383983^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133102032133 - 2² = 13133102032129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133102032933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566551016066 + 6566551016067.

It is an arithmetic number, because the mean of its divisors is an integer number (6566551016067).

Almost surely, 2^{13133102032133} is an apocalyptic number.

It is an amenable number.

13133102032133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133102032133 is an equidigital number, since it uses as much as digits as its factorization.

13133102032133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13133102032133 its reverse (33123020133131), we get a palindrome (46256122165264).

The spelling of 13133102032133 in words is "thirteen trillion, one hundred thirty-three billion, one hundred two million, thirty-two thousand, one hundred thirty-three".