131482310400 has 1080 divisors, whose sum is σ = 585148798080. Its totient is φ = 28456427520.

The previous prime is 131482310389. The next prime is 131482310411. The reversal of 131482310400 is 4013284131.

131482310400 is a `hidden beast` number, since 13 + 14 + 8 + 231 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (131482310389) and next prime (131482310411).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68946247 + ... + 68948153.

Almost surely, 2^131482310400 is an apocalyptic number.

131482310400 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 131482310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292574399040).

131482310400 is an abundant number, since it is smaller than the sum of its proper divisors (453666487680).

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

131482310400 is a wasteful number, since it uses less digits than its factorization.

131482310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131482310400 its reverse (4013284131), we get a palindrome (135495594531).

The spelling of 131482310400 in words is "one hundred thirty-one billion, four hundred eighty-two million, three hundred ten thousand, four hundred".