133201401520000 has 640 divisors, whose sum is σ = 403180470950400. Its totient is φ = 43188203520000.

The previous prime is 133201401519973. The next prime is 133201401520021. The reversal of 133201401520000 is 25104102331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×133201401520000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 284005689 + ... + 284474311.

It is an arithmetic number, because the mean of its divisors is an integer number (629969485860).

Almost surely, 2^{133201401520000} is an apocalyptic number.

133201401520000 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 133201401520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201590235475200).

133201401520000 is an abundant number, since it is smaller than the sum of its proper divisors (269979069430400).

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

133201401520000 is a wasteful number, since it uses less digits than its factorization.

133201401520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468704 (or 468677 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 133201401520000 its reverse (25104102331), we get a palindrome (133226505622331).

The spelling of 133201401520000 in words is "one hundred thirty-three trillion, two hundred one billion, four hundred one million, five hundred twenty thousand".