120131314000 has 40 divisors (see below), whose sum is σ = 290477522088. Its totient is φ = 48052524800.

The previous prime is 120131313989. The next prime is 120131314001. The reversal of 120131314000 is 413131021.

It can be written as a sum of positive squares in 4 ways, for example, as 1701727504 + 118429586496 = 41252^2 + 344136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30030829 + ... + 30034828.

Almost surely, 2^120131314000 is an apocalyptic number.

120131314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120131314000 is an abundant number, since it is smaller than the sum of its proper divisors (170346208088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120131314000 is an equidigital number, since it uses as much as digits as its factorization.

120131314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60065680 (or 60065664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120131314000 its reverse (413131021), we get a palindrome (120544445021).

The spelling of 120131314000 in words is "one hundred twenty billion, one hundred thirty-one million, three hundred fourteen thousand".