133310101000000 has 392 divisors, whose sum is σ = 336212718297120. Its totient is φ = 52432723200000.

The previous prime is 133310100999991. The next prime is 133310101000001. The reversal of 133310101000000 is 101013331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133310101000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45358998531 + ... + 45359001469.

It is an arithmetic number, because the mean of its divisors is an integer number (857685505860).

Almost surely, 2^{133310101000000} is an apocalyptic number.

133310101000000 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 133310101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168106359148560).

133310101000000 is an abundant number, since it is smaller than the sum of its proper divisors (202902617297120).

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

133310101000000 is an frugal number, since it uses more digits than its factorization.

133310101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 133310101000000 its reverse (101013331), we get a palindrome (133310202013331).

The spelling of 133310101000000 in words is "one hundred thirty-three trillion, three hundred ten billion, one hundred one million", and thus it is an aban number.