33120010132133 has 16 divisors (see below), whose sum is σ = 35057056507200. Its totient is φ = 31202365155840.

The previous prime is 33120010132123. The next prime is 33120010132163. The reversal of 33120010132133 is 33123101002133.

It is a cyclic number.

It is not a de Polignac number, because 33120010132133 - 2⁴ = 33120010132117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33120010132099 and 33120010132108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120010132123) 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, 103398698 + ... + 103718516.

It is an arithmetic number, because the mean of its divisors is an integer number (2191066031700).

Almost surely, 2^{33120010132133} is an apocalyptic number.

It is an amenable number.

33120010132133 is a deficient number, since it is larger than the sum of its proper divisors (1937046375067).

33120010132133 is a wasteful number, since it uses less digits than its factorization.

33120010132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350132.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 33120010132133 its reverse (33123101002133), we get a palindrome (66243111134266).

The spelling of 33120010132133 in words is "thirty-three trillion, one hundred twenty billion, ten million, one hundred thirty-two thousand, one hundred thirty-three".