133222213133020 has 192 divisors, whose sum is σ = 323348689238400. Its totient is φ = 45657588695040.

The previous prime is 133222213133003. The next prime is 133222213133057. The reversal of 133222213133020 is 20331312222331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133222213133020.

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 63 ways as a sum of consecutive naturals, for example, 43702326 + ... + 46651234.

It is an arithmetic number, because the mean of its divisors is an integer number (1684107756450).

Almost surely, 2^{133222213133020} is an apocalyptic number.

133222213133020 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 133222213133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161674344619200).

133222213133020 is an abundant number, since it is smaller than the sum of its proper divisors (190126476105380).

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

133222213133020 is a wasteful number, since it uses less digits than its factorization.

133222213133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949128 (or 2949126 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133222213133020 its reverse (20331312222331), we get a palindrome (153553525355351).

The spelling of 133222213133020 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, two hundred thirteen million, one hundred thirty-three thousand, twenty".