13101321022133 has 2 divisors, whose sum is σ = 13101321022134. Its totient is φ = 13101321022132.

The previous prime is 13101321022117. The next prime is 13101321022183. The reversal of 13101321022133 is 33122012310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12649282635889 + 452038386244 = 3556583^2 + 672338^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101321022133 - 2⁴ = 13101321022117 is a prime.

It is a super-2 number, since 2×13101321022133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101321022099 and 13101321022108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101321022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550660511066 + 6550660511067.

It is an arithmetic number, because the mean of its divisors is an integer number (6550660511067).

Almost surely, 2^{13101321022133} is an apocalyptic number.

It is an amenable number.

13101321022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101321022133 is an equidigital number, since it uses as much as digits as its factorization.

13101321022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13101321022133 its reverse (33122012310131), we get a palindrome (46223333332264).

The spelling of 13101321022133 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-two thousand, one hundred thirty-three".