120032121313 has 4 divisors (see below), whose sum is σ = 129265361428. Its totient is φ = 110798881200.

The previous prime is 120032121301. The next prime is 120032121329. The reversal of 120032121313 is 313121230021.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313121230021 = 15493 ⋅20210497.

It can be written as a sum of positive squares in 2 ways, for example, as 7302044304 + 112730077009 = 85452^2 + 335753^2 .

It is a cyclic number.

It is not a de Polignac number, because 120032121313 - 2¹⁷ = 120031990241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120032121113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4616620038 + ... + 4616620063.

It is an arithmetic number, because the mean of its divisors is an integer number (32316340357).

Almost surely, 2^120032121313 is an apocalyptic number.

120032121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120032121313 is a deficient number, since it is larger than the sum of its proper divisors (9233240115).

120032121313 is an equidigital number, since it uses as much as digits as its factorization.

120032121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233240114.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120032121313 its reverse (313121230021), we get a palindrome (433153351334).

The spelling of 120032121313 in words is "one hundred twenty billion, thirty-two million, one hundred twenty-one thousand, three hundred thirteen".