13212322100133 has 16 divisors (see below), whose sum is σ = 18971604817536. Its totient is φ = 8130631728960.

The previous prime is 13212322100063. The next prime is 13212322100161. The reversal of 13212322100133 is 33100122321231.

13212322100133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13212322100133 - 2³⁰ = 13211248358309 is a prime.

It is a super-3 number, since 3×13212322100133³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212322100183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20664816 + ... + 21294582.

It is an arithmetic number, because the mean of its divisors is an integer number (1185725301096).

Almost surely, 2^{13212322100133} is an apocalyptic number.

13212322100133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13212322100133 is a deficient number, since it is larger than the sum of its proper divisors (5759282717403).

13212322100133 is a wasteful number, since it uses less digits than its factorization.

13212322100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167724.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13212322100133 its reverse (33100122321231), we get a palindrome (46312444421364).

The spelling of 13212322100133 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-two million, one hundred thousand, one hundred thirty-three".