120032113133 has 2 divisors, whose sum is σ = 120032113134. Its totient is φ = 120032113132.

The previous prime is 120032113127. The next prime is 120032113139. The reversal of 120032113133 is 331311230021.

It is a balanced prime because it is at equal distance from previous prime (120032113127) and next prime (120032113139).

It can be written as a sum of positive squares in only one way, i.e., 119828822569 + 203290564 = 346163^2 + 14258^2 .

It is a cyclic number.

It is not a de Polignac number, because 120032113133 - 2¹⁴ = 120032096749 is a prime.

It is a super-2 number, since 2×120032113133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120032113139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60016056566 + 60016056567.

It is an arithmetic number, because the mean of its divisors is an integer number (60016056567).

Almost surely, 2^120032113133 is an apocalyptic number.

It is an amenable number.

120032113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

120032113133 is an equidigital number, since it uses as much as digits as its factorization.

120032113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120032113133 its reverse (331311230021), we get a palindrome (451343343154).

The spelling of 120032113133 in words is "one hundred twenty billion, thirty-two million, one hundred thirteen thousand, one hundred thirty-three".