131232412113400 has 288 divisors, whose sum is σ = 347894228880000. Its totient is φ = 45889727869440.

The previous prime is 131232412113389. The next prime is 131232412113401. The reversal of 131232412113400 is 4311214232131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131232412113401) 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 71 ways as a sum of consecutive naturals, for example, 2056934701 + ... + 2056998499.

It is an arithmetic number, because the mean of its divisors is an integer number (1207966072500).

Almost surely, 2^{131232412113400} is an apocalyptic number.

131232412113400 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 131232412113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173947114440000).

131232412113400 is an abundant number, since it is smaller than the sum of its proper divisors (216661816766600).

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

131232412113400 is a wasteful number, since it uses less digits than its factorization.

131232412113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67063 (or 67041 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131232412113400 its reverse (4311214232131), we get a palindrome (135543626345531).

The spelling of 131232412113400 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, four hundred twelve million, one hundred thirteen thousand, four hundred".