131303032321000 has 128 divisors (see below), whose sum is σ = 308900753141760. Its totient is φ = 52238955072000.

The previous prime is 131303032320949. The next prime is 131303032321003. The reversal of 131303032321000 is 123230303131.

131303032321000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131303032321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493003029 + ... + 1493090971.

It is an arithmetic number, because the mean of its divisors is an integer number (2413287133920).

Almost surely, 2^{131303032321000} is an apocalyptic number.

131303032321000 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 131303032321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154450376570880).

131303032321000 is an abundant number, since it is smaller than the sum of its proper divisors (177597720820760).

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

131303032321000 is a wasteful number, since it uses less digits than its factorization.

131303032321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95972 (or 95958 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131303032321000 its reverse (123230303131), we get a palindrome (131426262624131).

The spelling of 131303032321000 in words is "one hundred thirty-one trillion, three hundred three billion, thirty-two million, three hundred twenty-one thousand".