120133130122331 has 2 divisors, whose sum is σ = 120133130122332. Its totient is φ = 120133130122330.

The previous prime is 120133130122301. The next prime is 120133130122333. The reversal of 120133130122331 is 133221031331021.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120133130122331 is a prime.

It is a super-2 number, since 2×120133130122331² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 120133130122333, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120133130122331.

It is not a weakly prime, because it can be changed into another prime (120133130122333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60066565061165 + 60066565061166.

It is an arithmetic number, because the mean of its divisors is an integer number (60066565061166).

Almost surely, 2^{120133130122331} is an apocalyptic number.

120133130122331 is a deficient number, since it is larger than the sum of its proper divisors (1).

120133130122331 is an equidigital number, since it uses as much as digits as its factorization.

120133130122331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 120133130122331 its reverse (133221031331021), we get a palindrome (253354161453352).

The spelling of 120133130122331 in words is "one hundred twenty trillion, one hundred thirty-three billion, one hundred thirty million, one hundred twenty-two thousand, three hundred thirty-one".