131412333210400 has 288 divisors, whose sum is σ = 366922121481216. Its totient is φ = 45491994240000.

The previous prime is 131412333210397. The next prime is 131412333210409. The reversal of 131412333210400 is 4012333214131.

It is not an unprimeable number, because it can be changed into a prime (131412333210409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41167845 + ... + 44244955.

It is an arithmetic number, because the mean of its divisors is an integer number (1274035144032).

Almost surely, 2^{131412333210400} is an apocalyptic number.

131412333210400 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 131412333210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183461060740608).

131412333210400 is an abundant number, since it is smaller than the sum of its proper divisors (235509788270816).

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

131412333210400 is a wasteful number, since it uses less digits than its factorization.

131412333210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077376 (or 3077363 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131412333210400 its reverse (4012333214131), we get a palindrome (135424666424531).

The spelling of 131412333210400 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-three million, two hundred ten thousand, four hundred".