33213213032101 has 32 divisors (see below), whose sum is σ = 36506183401440. Its totient is φ = 30088930000896.

The previous prime is 33213213032023. The next prime is 33213213032141. The reversal of 33213213032101 is 10123031231233.

It can be written as a sum of positive squares in 16 ways, for example, as 6248550084100 + 26964662948001 = 2499710^2 + 5192751^2 .

It is a cyclic number.

It is not a de Polignac number, because 33213213032101 - 2²⁵ = 33213179477669 is a prime.

It is a super-2 number, since 2×33213213032101² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33213213032141) 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, 21880101 + ... + 23348773.

It is an arithmetic number, because the mean of its divisors is an integer number (1140818231295).

Almost surely, 2^{33213213032101} is an apocalyptic number.

It is an amenable number.

33213213032101 is a deficient number, since it is larger than the sum of its proper divisors (3292970369339).

33213213032101 is a wasteful number, since it uses less digits than its factorization.

33213213032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469113.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 33213213032101 its reverse (10123031231233), we get a palindrome (43336244263334).

The spelling of 33213213032101 in words is "thirty-three trillion, two hundred thirteen billion, two hundred thirteen million, thirty-two thousand, one hundred one".