120133002100333 has 2 divisors, whose sum is σ = 120133002100334. Its totient is φ = 120133002100332.

The previous prime is 120133002100213. The next prime is 120133002100337. The reversal of 120133002100333 is 333001200331021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72081237664489 + 48051764435844 = 8490067^2 + 6931938^2 .

It is a cyclic number.

It is not a de Polignac number, because 120133002100333 - 2²⁵ = 120132968545901 is a prime.

It is a super-2 number, since 2×120133002100333² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120133002100337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60066501050166 + 60066501050167.

It is an arithmetic number, because the mean of its divisors is an integer number (60066501050167).

Almost surely, 2^{120133002100333} is an apocalyptic number.

It is an amenable number.

120133002100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

120133002100333 is an equidigital number, since it uses as much as digits as its factorization.

120133002100333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 120133002100333 its reverse (333001200331021), we get a palindrome (453134202431354).

The spelling of 120133002100333 in words is "one hundred twenty trillion, one hundred thirty-three billion, two million, one hundred thousand, three hundred thirty-three".