133013110100000 has 864 divisors, whose sum is σ = 373768559281152. Its totient is φ = 46229356800000.

The previous prime is 133013110099999. The next prime is 133013110100071. The reversal of 133013110100000 is 1011310331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134221099505 + ... + 134221100495.

It is an arithmetic number, because the mean of its divisors is an integer number (432602499168).

Almost surely, 2^{133013110100000} is an apocalyptic number.

133013110100000 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 133013110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186884279640576).

133013110100000 is an abundant number, since it is smaller than the sum of its proper divisors (240755449181152).

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

133013110100000 is an frugal number, since it uses more digits than its factorization.

133013110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 133013110100000 its reverse (1011310331), we get a palindrome (133014121410331).

The spelling of 133013110100000 in words is "one hundred thirty-three trillion, thirteen billion, one hundred ten million, one hundred thousand".