133121300 has 54 divisors (see below), whose sum is σ = 312843258. Its totient is φ = 49146240.

The previous prime is 133121299. The next prime is 133121311. The reversal of 133121300 is 3121331.

It can be written as a sum of positive squares in 9 ways, for example, as 107578384 + 25542916 = 10372^2 + 5054^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12962 + ... + 20838.

Almost surely, 2^133121300 is an apocalyptic number.

133121300 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 133121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156421629).

133121300 is an abundant number, since it is smaller than the sum of its proper divisors (179721958).

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

133121300 is a wasteful number, since it uses less digits than its factorization.

133121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133121300 is about 11537.8204180859. The cubic root of 133121300 is about 510.6020060139.

Adding to 133121300 its reverse (3121331), we get a palindrome (136242631).

It can be divided in two parts, 13312 and 1300, that multiplied together give a square (17305600 = 4160²).

The spelling of 133121300 in words is "one hundred thirty-three million, one hundred twenty-one thousand, three hundred".