133301300220000 has 1440 divisors, whose sum is σ = 521319089491200. Its totient is φ = 32031521280000.

The previous prime is 133301300219861. The next prime is 133301300220043. The reversal of 133301300220000 is 22003103331.

133301300220000 is a `hidden beast` number, since 1 + 3 + 330 + 130 + 0 + 2 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146969459547 + ... + 146969460453.

It is an arithmetic number, because the mean of its divisors is an integer number (362027145480).

Almost surely, 2^{133301300220000} is an apocalyptic number.

133301300220000 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 133301300220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260659544745600).

133301300220000 is an abundant number, since it is smaller than the sum of its proper divisors (388017789271200).

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

133301300220000 is a wasteful number, since it uses less digits than its factorization.

133301300220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133301300220000 its reverse (22003103331), we get a palindrome (133323303323331).

The spelling of 133301300220000 in words is "one hundred thirty-three trillion, three hundred one billion, three hundred million, two hundred twenty thousand".