33102133120133 has 32 divisors (see below), whose sum is σ = 41286747237120. Its totient is φ = 25783525647360.

The previous prime is 33102133120099. The next prime is 33102133120171.

33102133120133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33102133120133 - 2⁸ = 33102133119877 is a prime.

It is a super-2 number, since 2×33102133120133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102133120333) 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, 3622862141 + ... + 3622871277.

It is an arithmetic number, because the mean of its divisors is an integer number (1290210851160).

Almost surely, 2^{33102133120133} is an apocalyptic number.

It is an amenable number.

33102133120133 is a deficient number, since it is larger than the sum of its proper divisors (8184614116987).

33102133120133 is a wasteful number, since it uses less digits than its factorization.

33102133120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22877.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 3310213 and 3120133, that added together give a palindrome (6430346).

The spelling of 33102133120133 in words is "thirty-three trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred thirty-three".