33121121332001 has 2 divisors, whose sum is σ = 33121121332002. Its totient is φ = 33121121332000.

The previous prime is 33121121331953. The next prime is 33121121332043. The reversal of 33121121332001 is 10023312112133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29007100158976 + 4114021173025 = 5385824^2 + 2028305^2 .

It is a cyclic number.

It is not a de Polignac number, because 33121121332001 - 2²⁶ = 33121054223137 is a prime.

It is not a weakly prime, because it can be changed into another prime (33121121332601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560560666000 + 16560560666001.

It is an arithmetic number, because the mean of its divisors is an integer number (16560560666001).

Almost surely, 2^{33121121332001} is an apocalyptic number.

It is an amenable number.

33121121332001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33121121332001 is an equidigital number, since it uses as much as digits as its factorization.

33121121332001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 33121121332001 its reverse (10023312112133), we get a palindrome (43144433444134).

The spelling of 33121121332001 in words is "thirty-three trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-two thousand, one".