120330133314433 has 12 divisors (see below), whose sum is σ = 144802623483540. Its totient is φ = 99583558603872.

The previous prime is 120330133314409. The next prime is 120330133314439. The reversal of 120330133314433 is 334413331033021.

It can be written as a sum of positive squares in 2 ways, for example, as 48185019220849 + 72145114093584 = 6941543^2 + 8493828^2 .

It is not a de Polignac number, because 120330133314433 - 2¹³ = 120330133306241 is a prime.

It is a super-2 number, since 2×120330133314433² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120330133314439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42339946966 + ... + 42339949807.

It is an arithmetic number, because the mean of its divisors is an integer number (12066885290295).

Almost surely, 2^{120330133314433} is an apocalyptic number.

It is an amenable number.

120330133314433 is a deficient number, since it is larger than the sum of its proper divisors (24472490169107).

120330133314433 is an equidigital number, since it uses as much as digits as its factorization.

120330133314433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84679896816 (or 84679896809 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 120330133314433 its reverse (334413331033021), we get a palindrome (454743464347454).

The spelling of 120330133314433 in words is "one hundred twenty trillion, three hundred thirty billion, one hundred thirty-three million, three hundred fourteen thousand, four hundred thirty-three".