131022334000 has 80 divisors (see below), whose sum is σ = 318756428640. Its totient is φ = 52087276800.

The previous prime is 131022333997. The next prime is 131022334039. The reversal of 131022334000 is 433220131.

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

It is an unprimeable number.

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, 125046 + ... + 526954.

It is an arithmetic number, because the mean of its divisors is an integer number (3984455358).

Almost surely, 2^131022334000 is an apocalyptic number.

131022334000 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 131022334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159378214320).

131022334000 is an abundant number, since it is smaller than the sum of its proper divisors (187734094640).

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

131022334000 is a wasteful number, since it uses less digits than its factorization.

131022334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402095 (or 402079 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 131022334000 its reverse (433220131), we get a palindrome (131455554131).

The spelling of 131022334000 in words is "one hundred thirty-one billion, twenty-two million, three hundred thirty-four thousand".