131002031120 has 80 divisors (see below), whose sum is σ = 307336995840. Its totient is φ = 51928128000.

The previous prime is 131002031107. The next prime is 131002031123. The reversal of 131002031120 is 21130200131.

131002031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131002031095 and 131002031104.

It is not an unprimeable number, because it can be changed into a prime (131002031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5072801 + ... + 5098559.

It is an arithmetic number, because the mean of its divisors is an integer number (3841712448).

Almost surely, 2^131002031120 is an apocalyptic number.

131002031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153668497920).

131002031120 is an abundant number, since it is smaller than the sum of its proper divisors (176334964720).

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

131002031120 is a wasteful number, since it uses less digits than its factorization.

131002031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26344 (or 26338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131002031120 its reverse (21130200131), we get a palindrome (152132231251).

The spelling of 131002031120 in words is "one hundred thirty-one billion, two million, thirty-one thousand, one hundred twenty".