133313102011300 has 36 divisors (see below), whose sum is σ = 290531016957636. Its totient is φ = 53096377100800.

The previous prime is 133313102011207. The next prime is 133313102011307. The reversal of 133313102011300 is 3110201313331.

It can be written as a sum of positive squares in 6 ways, for example, as 29459189127424 + 103853912883876 = 5427632^2 + 10190874^2 .

It is not an unprimeable number, because it can be changed into a prime (133313102011307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860772881 + ... + 2860819480.

It is an arithmetic number, because the mean of its divisors is an integer number (8070306026601).

Almost surely, 2^{133313102011300} is an apocalyptic number.

133313102011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133313102011300 is an abundant number, since it is smaller than the sum of its proper divisors (157217914946336).

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

133313102011300 is a wasteful number, since it uses less digits than its factorization.

133313102011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721592608 (or 5721592601 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 133313102011300 its reverse (3110201313331), we get a palindrome (136423303324631).

The spelling of 133313102011300 in words is "one hundred thirty-three trillion, three hundred thirteen billion, one hundred two million, eleven thousand, three hundred".