120121330033213 has 16 divisors (see below), whose sum is σ = 127254009277440. Its totient is φ = 112996079481600.

The previous prime is 120121330033147. The next prime is 120121330033291. The reversal of 120121330033213 is 312330033121021.

It is a de Polignac number, because none of the positive numbers 2^k-120121330033213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121330033513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251635228 + ... + 252112138.

It is an arithmetic number, because the mean of its divisors is an integer number (7953375579840).

Almost surely, 2^{120121330033213} is an apocalyptic number.

It is an amenable number.

120121330033213 is a deficient number, since it is larger than the sum of its proper divisors (7132679244227).

120121330033213 is a wasteful number, since it uses less digits than its factorization.

120121330033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484668.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 120121330033213 its reverse (312330033121021), we get a palindrome (432451363154234).

The spelling of 120121330033213 in words is "one hundred twenty trillion, one hundred twenty-one billion, three hundred thirty million, thirty-three thousand, two hundred thirteen".