133312313322300 has 288 divisors, whose sum is σ = 445193009823744. Its totient is φ = 30169186272000.

The previous prime is 133312313322259. The next prime is 133312313322313. The reversal of 133312313322300 is 3223313213331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066512805 + ... + 1066637795.

It is an arithmetic number, because the mean of its divisors is an integer number (1545809061888).

Almost surely, 2^{133312313322300} is an apocalyptic number.

133312313322300 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 133312313322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222596504911872).

133312313322300 is an abundant number, since it is smaller than the sum of its proper divisors (311880696501444).

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

133312313322300 is a wasteful number, since it uses less digits than its factorization.

133312313322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130049 (or 130042 counting only the distinct ones).

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

Adding to 133312313322300 its reverse (3223313213331), we get a palindrome (136535626535631).

The spelling of 133312313322300 in words is "one hundred thirty-three trillion, three hundred twelve billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred".