120312302312033 has 16 divisors (see below), whose sum is σ = 137192351662800. Its totient is φ = 104521924233216.

The previous prime is 120312302312021. The next prime is 120312302312107. The reversal of 120312302312033 is 330213203213021.

It can be written as a sum of positive squares in 8 ways, for example, as 8036726047744 + 112275576264289 = 2834912^2 + 10596017^2 .

It is a cyclic number.

It is not a de Polignac number, because 120312302312033 - 2¹⁶ = 120312302246497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120312302311993 and 120312302312011.

It is not an unprimeable number, because it can be changed into a prime (120312302392033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049141 + ... + 15547517.

It is an arithmetic number, because the mean of its divisors is an integer number (8574521978925).

Almost surely, 2^{120312302312033} is an apocalyptic number.

120312302312033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120312302312033 is a deficient number, since it is larger than the sum of its proper divisors (16880049350767).

120312302312033 is a wasteful number, since it uses less digits than its factorization.

120312302312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535956.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 120312302312033 its reverse (330213203213021), we get a palindrome (450525505525054).

The spelling of 120312302312033 in words is "one hundred twenty trillion, three hundred twelve billion, three hundred two million, three hundred twelve thousand, thirty-three".