131343232420400 has 480 divisors, whose sum is σ = 424548971793408. Its totient is φ = 37711410278400.

The previous prime is 131343232420297. The next prime is 131343232420447. The reversal of 131343232420400 is 4024232343131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194658014 + ... + 195331586.

Almost surely, 2^{131343232420400} is an apocalyptic number.

131343232420400 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 131343232420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212274485896704).

131343232420400 is an abundant number, since it is smaller than the sum of its proper divisors (293205739373008).

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

131343232420400 is a wasteful number, since it uses less digits than its factorization.

131343232420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674109 (or 674098 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 131343232420400 its reverse (4024232343131), we get a palindrome (135367464763531).

The spelling of 131343232420400 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty-two million, four hundred twenty thousand, four hundred".