131402303210400 has 288 divisors, whose sum is σ = 431849510987328. Its totient is φ = 34702355251200.

The previous prime is 131402303210359. The next prime is 131402303210401. The reversal of 131402303210400 is 4012303204131.

It is a happy number.

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 (131402303210401) 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 47 ways as a sum of consecutive naturals, for example, 335278555 + ... + 335670245.

It is an arithmetic number, because the mean of its divisors is an integer number (1499477468706).

Almost surely, 2^{131402303210400} is an apocalyptic number.

131402303210400 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 131402303210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215924755493664).

131402303210400 is an abundant number, since it is smaller than the sum of its proper divisors (300447207776928).

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

131402303210400 is a wasteful number, since it uses less digits than its factorization.

131402303210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393064 (or 393051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131402303210400 its reverse (4012303204131), we get a palindrome (135414606414531).

The spelling of 131402303210400 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred three million, two hundred ten thousand, four hundred".