102133033203231 has 32 divisors (see below), whose sum is σ = 160787050418880. Its totient is φ = 63852123460608.

The previous prime is 102133033203191. The next prime is 102133033203239. The reversal of 102133033203231 is 132302330331201.

102133033203231 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 0 + 332 + 0 + 323 + 1 = 666.

It is not a de Polignac number, because 102133033203231 - 2⁶ = 102133033203167 is a prime.

It is a super-2 number, since 2×102133033203231² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102133033203195 and 102133033203204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133033203239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401519166 + ... + 401773451.

It is an arithmetic number, because the mean of its divisors is an integer number (5024595325590).

Almost surely, 2^{102133033203231} is an apocalyptic number.

102133033203231 is a deficient number, since it is larger than the sum of its proper divisors (58654017215649).

102133033203231 is a wasteful number, since it uses less digits than its factorization.

102133033203231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803292920 (or 803292914 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102133033203231 its reverse (132302330331201), we get a palindrome (234435363534432).

The spelling of 102133033203231 in words is "one hundred two trillion, one hundred thirty-three billion, thirty-three million, two hundred three thousand, two hundred thirty-one".