120033131303213 has 2 divisors, whose sum is σ = 120033131303214. Its totient is φ = 120033131303212.

The previous prime is 120033131303201. The next prime is 120033131303237. The reversal of 120033131303213 is 312303131330021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92481361258729 + 27551770044484 = 9616723^2 + 5248978^2 .

It is a cyclic number.

It is not a de Polignac number, because 120033131303213 - 2⁸ = 120033131302957 is a prime.

It is a super-2 number, since 2×120033131303213² (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 (120033131303273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60016565651606 + 60016565651607.

It is an arithmetic number, because the mean of its divisors is an integer number (60016565651607).

Almost surely, 2^{120033131303213} is an apocalyptic number.

It is an amenable number.

120033131303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

120033131303213 is an equidigital number, since it uses as much as digits as its factorization.

120033131303213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 120033131303213 its reverse (312303131330021), we get a palindrome (432336262633234).

The spelling of 120033131303213 in words is "one hundred twenty trillion, thirty-three billion, one hundred thirty-one million, three hundred three thousand, two hundred thirteen".