133023025002033 has 64 divisors (see below), whose sum is σ = 211854743654400. Its totient is φ = 82191760277760.

The previous prime is 133023025002017. The next prime is 133023025002061. The reversal of 133023025002033 is 330200520320331.

133023025002033 is a `hidden beast` number, since 1 + 3 + 302 + 302 + 5 + 0 + 0 + 20 + 33 = 666.

It is not a de Polignac number, because 133023025002033 - 2⁴ = 133023025002017 is a prime.

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 = 133023025001988 and 133023025002006.

It is not an unprimeable number, because it can be changed into a prime (133023025002073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24909610 + ... + 29774732.

It is an arithmetic number, because the mean of its divisors is an integer number (3310230369600).

Almost surely, 2^{133023025002033} is an apocalyptic number.

It is an amenable number.

133023025002033 is a deficient number, since it is larger than the sum of its proper divisors (78831718652367).

133023025002033 is a wasteful number, since it uses less digits than its factorization.

133023025002033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866059 (or 4866053 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 133023025002033 its reverse (330200520320331), we get a palindrome (463223545322364).

The spelling of 133023025002033 in words is "one hundred thirty-three trillion, twenty-three billion, twenty-five million, two thousand, thirty-three".