133222000133300 has 144 divisors (see below), whose sum is σ = 316830510684912. Its totient is φ = 48322544025600.

The previous prime is 133222000133291. The next prime is 133222000133347. The reversal of 133222000133300 is 3331000222331.

It can be written as a sum of positive squares in 24 ways, for example, as 119100247849636 + 14121752283664 = 10913306^2 + 3757892^2 .

It is a congruent number.

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, 62148164 + ... + 64256036.

Almost surely, 2^{133222000133300} is an apocalyptic number.

133222000133300 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 133222000133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158415255342456).

133222000133300 is an abundant number, since it is smaller than the sum of its proper divisors (183608510551612).

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

133222000133300 is a wasteful number, since it uses less digits than its factorization.

133222000133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108758 (or 2108751 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133222000133300 its reverse (3331000222331), we get a palindrome (136553000355631).

The spelling of 133222000133300 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, one hundred thirty-three thousand, three hundred".