133321233321300 has 144 divisors (see below), whose sum is σ = 392402737742400. Its totient is φ = 34938881510400.

The previous prime is 133321233321293. The next prime is 133321233321307. The reversal of 133321233321300 is 3123332123331.

It is an interprime number because it is at equal distance from previous prime (133321233321293) and next prime (133321233321307).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133321233321307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55842456 + ... + 58180944.

It is an arithmetic number, because the mean of its divisors is an integer number (2725019012100).

Almost surely, 2^{133321233321300} is an apocalyptic number.

133321233321300 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 133321233321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196201368871200).

133321233321300 is an abundant number, since it is smaller than the sum of its proper divisors (259081504421100).

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

133321233321300 is a wasteful number, since it uses less digits than its factorization.

133321233321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341786 (or 2341779 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 133321233321300 its reverse (3123332123331), we get a palindrome (136444565444631).

The spelling of 133321233321300 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, two hundred thirty-three million, three hundred twenty-one thousand, three hundred".