133113001300300 has 144 divisors (see below), whose sum is σ = 338182746793920. Its totient is φ = 44524182528000.

The previous prime is 133113001300273. The next prime is 133113001300313. The reversal of 133113001300300 is 3003100311331.

It is a happy number.

It is a super-2 number, since 2×133113001300300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293199236 + ... + 1293302164.

It is an arithmetic number, because the mean of its divisors is an integer number (2348491297180).

Almost surely, 2^{133113001300300} is an apocalyptic number.

133113001300300 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 133113001300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169091373396960).

133113001300300 is an abundant number, since it is smaller than the sum of its proper divisors (205069745493620).

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

133113001300300 is a wasteful number, since it uses less digits than its factorization.

133113001300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148052 (or 148045 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133113001300300 its reverse (3003100311331), we get a palindrome (136116101611631).

The spelling of 133113001300300 in words is "one hundred thirty-three trillion, one hundred thirteen billion, one million, three hundred thousand, three hundred".