131132313312000 has 3456 divisors, whose sum is σ = 604120815986688. Its totient is φ = 24463835136000.

The previous prime is 131132313311953. The next prime is 131132313312001. The reversal of 131132313312000 is 213313231131.

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

It is not an unprimeable number, because it can be changed into a prime (131132313312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46222174582 + ... + 46222177418.

It is an arithmetic number, because the mean of its divisors is an integer number (174803476848).

Almost surely, 2^{131132313312000} is an apocalyptic number.

131132313312000 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 131132313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302060407993344).

131132313312000 is an abundant number, since it is smaller than the sum of its proper divisors (472988502674688).

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

131132313312000 is a wasteful number, since it uses less digits than its factorization.

131132313312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131132313312000 its reverse (213313231131), we get a palindrome (131345626543131).

The spelling of 131132313312000 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirteen million, three hundred twelve thousand".