131132323122000 has 320 divisors, whose sum is σ = 447677496235008. Its totient is φ = 32908846080000.

The previous prime is 131132323121963. The next prime is 131132323122001. The reversal of 131132323122000 is 221323231131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132323122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368894105 + ... + 1368989895.

Almost surely, 2^{131132323122000} is an apocalyptic number.

131132323122000 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 131132323122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223838748117504).

131132323122000 is an abundant number, since it is smaller than the sum of its proper divisors (316545173113008).

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

131132323122000 is a wasteful number, since it uses less digits than its factorization.

131132323122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109255 (or 109239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131132323122000 its reverse (221323231131), we get a palindrome (131353646353131).

The spelling of 131132323122000 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, three hundred twenty-three million, one hundred twenty-two thousand".