120123300310331 has 64 divisors (see below), whose sum is σ = 135164357213184. Its totient is φ = 106197914419200.

The previous prime is 120123300310313. The next prime is 120123300310369. The reversal of 120123300310331 is 133013003321021.

It is a cyclic number.

It is not a de Polignac number, because 120123300310331 - 2⁶ = 120123300310267 is a prime.

It is a super-2 number, since 2×120123300310331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120123300310297 and 120123300310306.

It is not an unprimeable number, because it can be changed into a prime (120123300310301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33028125845 + ... + 33028129481.

It is an arithmetic number, because the mean of its divisors is an integer number (2111943081456).

Almost surely, 2^{120123300310331} is an apocalyptic number.

120123300310331 is a deficient number, since it is larger than the sum of its proper divisors (15041056902853).

120123300310331 is a wasteful number, since it uses less digits than its factorization.

120123300310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 120123300310331 its reverse (133013003321021), we get a palindrome (253136303631352).

The spelling of 120123300310331 in words is "one hundred twenty trillion, one hundred twenty-three billion, three hundred million, three hundred ten thousand, three hundred thirty-one".