120300331233113 has 2 divisors, whose sum is σ = 120300331233114. Its totient is φ = 120300331233112.

The previous prime is 120300331233107. The next prime is 120300331233119. The reversal of 120300331233113 is 311332133003021.

It is a balanced prime because it is at equal distance from previous prime (120300331233107) and next prime (120300331233119).

It can be written as a sum of positive squares in only one way, i.e., 103604060817664 + 16696270415449 = 10178608^2 + 4086107^2 .

It is a cyclic number.

It is not a de Polignac number, because 120300331233113 - 2¹⁰ = 120300331232089 is a prime.

It is not a weakly prime, because it can be changed into another prime (120300331233119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60150165616556 + 60150165616557.

It is an arithmetic number, because the mean of its divisors is an integer number (60150165616557).

Almost surely, 2^{120300331233113} is an apocalyptic number.

It is an amenable number.

120300331233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

120300331233113 is an equidigital number, since it uses as much as digits as its factorization.

120300331233113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 120300331233113 its reverse (311332133003021), we get a palindrome (431632464236134).

The spelling of 120300331233113 in words is "one hundred twenty trillion, three hundred billion, three hundred thirty-one million, two hundred thirty-three thousand, one hundred thirteen".