133101211200000 has 480 divisors, whose sum is σ = 444422600633088. Its totient is φ = 35396474880000.

The previous prime is 133101211199989. The next prime is 133101211200019. The reversal of 133101211200000 is 2112101331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761562222 + ... + 1761637778.

Almost surely, 2^{133101211200000} is an apocalyptic number.

133101211200000 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 133101211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222211300316544).

133101211200000 is an abundant number, since it is smaller than the sum of its proper divisors (311321389433088).

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

133101211200000 is an frugal number, since it uses more digits than its factorization.

133101211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75970 (or 75934 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 133101211200000 its reverse (2112101331), we get a palindrome (133103323301331).

The spelling of 133101211200000 in words is "one hundred thirty-three trillion, one hundred one billion, two hundred eleven million, two hundred thousand".