131433100324400 has 240 divisors, whose sum is σ = 378878341615104. Its totient is φ = 42839083837440.

The previous prime is 131433100324333. The next prime is 131433100324441. The reversal of 131433100324400 is 4423001334131.

It is a happy number.

It is an unprimeable number.

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, 4236812 + ... + 16757588.

Almost surely, 2^{131433100324400} is an apocalyptic number.

131433100324400 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 131433100324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189439170807552).

131433100324400 is an abundant number, since it is smaller than the sum of its proper divisors (247445241290704).

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

131433100324400 is a wasteful number, since it uses less digits than its factorization.

131433100324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12520988 (or 12520977 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 131433100324400 its reverse (4423001334131), we get a palindrome (135856101658531).

The spelling of 131433100324400 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, one hundred million, three hundred twenty-four thousand, four hundred".