120322210324113 has 36 divisors (see below), whose sum is σ = 214066645511940. Its totient is φ = 64711104708096.

The previous prime is 120322210324109. The next prime is 120322210324117. The reversal of 120322210324113 is 311423012223021.

120322210324113 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 2 + 210 + 32 + 411 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (120322210324109) and next prime (120322210324117).

It can be written as a sum of positive squares in 2 ways, for example, as 61501716343809 + 58820493980304 = 7842303^2 + 7669452^2 .

It is not a de Polignac number, because 120322210324113 - 2² = 120322210324109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120322210324117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8024683068 + ... + 8024698061.

It is an arithmetic number, because the mean of its divisors is an integer number (5946295708665).

Almost surely, 2^{120322210324113} is an apocalyptic number.

It is an amenable number.

120322210324113 is a deficient number, since it is larger than the sum of its proper divisors (93744435187827).

120322210324113 is a wasteful number, since it uses less digits than its factorization.

120322210324113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049381166 (or 16049381156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120322210324113 its reverse (311423012223021), we get a palindrome (431745222547134).

The spelling of 120322210324113 in words is "one hundred twenty trillion, three hundred twenty-two billion, two hundred ten million, three hundred twenty-four thousand, one hundred thirteen".