120123133031 has 16 divisors (see below), whose sum is σ = 134681971200. Its totient is φ = 106174968480.

The previous prime is 120123133003. The next prime is 120123133043. The reversal of 120123133031 is 130331321021.

It is a cyclic number.

It is not a de Polignac number, because 120123133031 - 2⁶ = 120123132967 is a prime.

It is a super-3 number, since 3×120123133031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120123132994 and 120123133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123133001) 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, 463910 + ... + 674876.

It is an arithmetic number, because the mean of its divisors is an integer number (8417623200).

Almost surely, 2^120123133031 is an apocalyptic number.

120123133031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120123133031 is a deficient number, since it is larger than the sum of its proper divisors (14558838169).

120123133031 is a wasteful number, since it uses less digits than its factorization.

120123133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212414.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120123133031 its reverse (130331321021), we get a palindrome (250454454052).

The spelling of 120123133031 in words is "one hundred twenty billion, one hundred twenty-three million, one hundred thirty-three thousand, thirty-one".