120121302202013 has 32 divisors (see below), whose sum is σ = 144700186116096. Its totient is φ = 97488496024128.

The previous prime is 120121302202009. The next prime is 120121302202021. The reversal of 120121302202013 is 310202203121021.

It is a cyclic number.

It is not a de Polignac number, because 120121302202013 - 2² = 120121302202009 is a prime.

It is a super-2 number, since 2×120121302202013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121302201013) 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 31 ways as a sum of consecutive naturals, for example, 39098495 + ... + 42058707.

It is an arithmetic number, because the mean of its divisors is an integer number (4521880816128).

Almost surely, 2^{120121302202013} is an apocalyptic number.

It is an amenable number.

120121302202013 is a deficient number, since it is larger than the sum of its proper divisors (24578883914083).

120121302202013 is a wasteful number, since it uses less digits than its factorization.

120121302202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962793.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120121302202013 its reverse (310202203121021), we get a palindrome (430323505323034).

The spelling of 120121302202013 in words is "one hundred twenty trillion, one hundred twenty-one billion, three hundred two million, two hundred two thousand, thirteen".