102133231200133 has 32 divisors (see below), whose sum is σ = 122442567155712. Its totient is φ = 83293904284800.

The previous prime is 102133231200127. The next prime is 102133231200149. The reversal of 102133231200133 is 331002132331201.

It is a cyclic number.

It is not a de Polignac number, because 102133231200133 - 2⁵ = 102133231200101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102133231200098 and 102133231200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133231200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696221553 + ... + 696368233.

It is an arithmetic number, because the mean of its divisors is an integer number (3826330223616).

Almost surely, 2^{102133231200133} is an apocalyptic number.

It is an amenable number.

102133231200133 is a deficient number, since it is larger than the sum of its proper divisors (20309335955579).

102133231200133 is a wasteful number, since it uses less digits than its factorization.

102133231200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169545.

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

Adding to 102133231200133 its reverse (331002132331201), we get a palindrome (433135363531334).

The spelling of 102133231200133 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirty-one million, two hundred thousand, one hundred thirty-three".