133020013212300 has 144 divisors (see below), whose sum is σ = 391203611873312. Its totient is φ = 34888443033600.

The previous prime is 133020013212287. The next prime is 133020013212343. The reversal of 133020013212300 is 3212310020331.

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 47 ways as a sum of consecutive naturals, for example, 324382194 + ... + 324792006.

Almost surely, 2^{133020013212300} is an apocalyptic number.

133020013212300 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 133020013212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195601805936656).

133020013212300 is an abundant number, since it is smaller than the sum of its proper divisors (258183598661012).

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

133020013212300 is a wasteful number, since it uses less digits than its factorization.

133020013212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427628 (or 427621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133020013212300 its reverse (3212310020331), we get a palindrome (136232323232631).

The spelling of 133020013212300 in words is "one hundred thirty-three trillion, twenty billion, thirteen million, two hundred twelve thousand, three hundred".