133302133100 has 72 divisors (see below), whose sum is σ = 292394566800. Its totient is φ = 52745056000.

The previous prime is 133302133073. The next prime is 133302133109. The reversal of 133302133100 is 1331203331.

It is a super-2 number, since 2×133302133100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133302133109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12407531 + ... + 12418269.

It is an arithmetic number, because the mean of its divisors is an integer number (4061035650).

Almost surely, 2^133302133100 is an apocalyptic number.

133302133100 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 133302133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146197283400).

133302133100 is an abundant number, since it is smaller than the sum of its proper divisors (159092433700).

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

133302133100 is a wasteful number, since it uses less digits than its factorization.

133302133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133302133100 its reverse (1331203331), we get a palindrome (134633336431).

The spelling of 133302133100 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty-three thousand, one hundred".