8133123132225 has 192 divisors, whose sum is σ = 18394569894400. Its totient is φ = 3430910545920.

The previous prime is 8133123132163. The next prime is 8133123132257. The reversal of 8133123132225 is 5222313213318.

8133123132225 is a `hidden beast` number, since 8 + 1 + 3 + 312 + 313 + 2 + 2 + 25 = 666.

It is not a de Polignac number, because 8133123132225 - 2⁹ = 8133123131713 is a prime.

It is a super-3 number, since 3×8133123132225³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8133123132225.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210852741 + ... + 210891309.

Almost surely, 2^{8133123132225} is an apocalyptic number.

It is an amenable number.

8133123132225 is an abundant number, since it is smaller than the sum of its proper divisors (10261446762175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8133123132225 is a wasteful number, since it uses less digits than its factorization.

8133123132225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42041 (or 42030 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 8133123132225 in words is "eight trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty-five".