131104233334400 has 48 divisors (see below), whose sum is σ = 323868426416790. Its totient is φ = 52441693332480.

The previous prime is 131104233334381. The next prime is 131104233334421. The reversal of 131104233334400 is 4433332401131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 117505426560064 + 13598806774336 = 10839992^2 + 3687656^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20485033259 + ... + 20485039658.

Almost surely, 2^{131104233334400} is an apocalyptic number.

131104233334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131104233334400 is an abundant number, since it is smaller than the sum of its proper divisors (192764193082390).

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

131104233334400 is an equidigital number, since it uses as much as digits as its factorization.

131104233334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40970072941 (or 40970072924 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131104233334400 its reverse (4433332401131), we get a palindrome (135537565735531).

The spelling of 131104233334400 in words is "one hundred thirty-one trillion, one hundred four billion, two hundred thirty-three million, three hundred thirty-four thousand, four hundred".