120033214131 has 48 divisors (see below), whose sum is σ = 171307816704. Its totient is φ = 74617642176.

The previous prime is 120033214051. The next prime is 120033214141. The reversal of 120033214131 is 131412330021.

It is a de Polignac number, because none of the positive numbers 2^k-120033214131 is a prime.

It is a super-2 number, since 2×120033214131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120033214098 and 120033214107.

It is not an unprimeable number, because it can be changed into a prime (120033214141) 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 47 ways as a sum of consecutive naturals, for example, 42219196 + ... + 42222038.

It is an arithmetic number, because the mean of its divisors is an integer number (3568912848).

Almost surely, 2^120033214131 is an apocalyptic number.

120033214131 is a deficient number, since it is larger than the sum of its proper divisors (51274602573).

120033214131 is a wasteful number, since it uses less digits than its factorization.

120033214131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120033214131 its reverse (131412330021), we get a palindrome (251445544152).

The spelling of 120033214131 in words is "one hundred twenty billion, thirty-three million, two hundred fourteen thousand, one hundred thirty-one".