133001222213200 has 120 divisors (see below), whose sum is σ = 348621997523040. Its totient is φ = 48358824460800.

The previous prime is 133001222213177. The next prime is 133001222213221. The reversal of 133001222213200 is 2312222100331.

It is a super-2 number, since 2×133001222213200² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38960806 + ... + 42236794.

It is an arithmetic number, because the mean of its divisors is an integer number (2905183312692).

Almost surely, 2^{133001222213200} is an apocalyptic number.

133001222213200 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 133001222213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174310998761520).

133001222213200 is an abundant number, since it is smaller than the sum of its proper divisors (215620775309840).

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

133001222213200 is a wasteful number, since it uses less digits than its factorization.

133001222213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285245 (or 3285234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133001222213200 its reverse (2312222100331), we get a palindrome (135313444313531).

The spelling of 133001222213200 in words is "one hundred thirty-three trillion, one billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred".