131233033003200 has 336 divisors, whose sum is σ = 431831998066560. Its totient is φ = 34891637760000.

The previous prime is 131233033003199. The next prime is 131233033003213. The reversal of 131233033003200 is 2300330332131.

131233033003200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131233033003200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6496353100 + ... + 6496373300.

It is an arithmetic number, because the mean of its divisors is an integer number (1285214279960).

Almost surely, 2^{131233033003200} is an apocalyptic number.

131233033003200 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 131233033003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215915999033280).

131233033003200 is an abundant number, since it is smaller than the sum of its proper divisors (300598965063360).

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

131233033003200 is a wasteful number, since it uses less digits than its factorization.

131233033003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131233033003200 its reverse (2300330332131), we get a palindrome (133533363335331).

The spelling of 131233033003200 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, thirty-three million, three thousand, two hundred".