133320312132210 has 320 divisors, whose sum is σ = 428929207660800. Its totient is φ = 29067923824128.

The previous prime is 133320312132197. The next prime is 133320312132269. The reversal of 133320312132210 is 12231213023331.

133320312132210 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 0 + 312 + 132 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8763336 + ... + 18532044.

It is an arithmetic number, because the mean of its divisors is an integer number (1340403773940).

Almost surely, 2^{133320312132210} is an apocalyptic number.

133320312132210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133320312132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214464603830400).

133320312132210 is an abundant number, since it is smaller than the sum of its proper divisors (295608895528590).

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

133320312132210 is a wasteful number, since it uses less digits than its factorization.

133320312132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768847 (or 9768838 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133320312132210 its reverse (12231213023331), we get a palindrome (145551525155541).

The spelling of 133320312132210 in words is "one hundred thirty-three trillion, three hundred twenty billion, three hundred twelve million, one hundred thirty-two thousand, two hundred ten".