133331022001300 has 72 divisors (see below), whose sum is σ = 291106293629760. Its totient is φ = 53005002336000.

The previous prime is 133331022001279. The next prime is 133331022001337. The reversal of 133331022001300 is 3100220133331.

It is a super-2 number, since 2×133331022001300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30169977 + ... + 34305823.

It is an arithmetic number, because the mean of its divisors is an integer number (4043142967080).

Almost surely, 2^{133331022001300} is an apocalyptic number.

133331022001300 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 133331022001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145553146814880).

133331022001300 is an abundant number, since it is smaller than the sum of its proper divisors (157775271628460).

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

133331022001300 is a wasteful number, since it uses less digits than its factorization.

133331022001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137841 (or 4137834 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133331022001300 its reverse (3100220133331), we get a palindrome (136431242134631).

The spelling of 133331022001300 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, twenty-two million, one thousand, three hundred".