131214230400 has 384 divisors, whose sum is σ = 472357267200. Its totient is φ = 31750144000.

The previous prime is 131214230369. The next prime is 131214230423. The reversal of 131214230400 is 4032412131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88597660 + ... + 88599140.

It is an arithmetic number, because the mean of its divisors is an integer number (1230097050).

Almost surely, 2^131214230400 is an apocalyptic number.

131214230400 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 131214230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236178633600).

131214230400 is an abundant number, since it is smaller than the sum of its proper divisors (341143036800).

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

131214230400 is a wasteful number, since it uses less digits than its factorization.

131214230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131214230400 its reverse (4032412131), we get a palindrome (135246642531).

The spelling of 131214230400 in words is "one hundred thirty-one billion, two hundred fourteen million, two hundred thirty thousand, four hundred".