13133132100000 has 576 divisors, whose sum is σ = 52230823263360. Its totient is φ = 3183782400000.

The previous prime is 13133132099963. The next prime is 13133132100083. The reversal of 13133132100000 is 123133131.

It is a happy number.

13133132100000 is a `hidden beast` number, since 1 + 313 + 31 + 321 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 29478904 + ... + 29921096.

It is an arithmetic number, because the mean of its divisors is an integer number (90678512610).

Almost surely, 2^{13133132100000} is an apocalyptic number.

13133132100000 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 13133132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115411631680).

13133132100000 is an abundant number, since it is smaller than the sum of its proper divisors (39097691163360).

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

13133132100000 is an equidigital number, since it uses as much as digits as its factorization.

13133132100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442248 (or 442214 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13133132100000 its reverse (123133131), we get a palindrome (13133255233131).

The spelling of 13133132100000 in words is "thirteen trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred thousand".