133302033001120 has 24 divisors (see below), whose sum is σ = 314926052965524. Its totient is φ = 53320813200384.

The previous prime is 133302033001103. The next prime is 133302033001139. The reversal of 133302033001120 is 21100330203331.

It can be written as a sum of positive squares in 2 ways, for example, as 125480233625616 + 7821799375504 = 11201796^2 + 2796748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133302033001091 and 133302033001100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416568852969 + ... + 416568853288.

Almost surely, 2^{133302033001120} is an apocalyptic number.

133302033001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302033001120 is an abundant number, since it is smaller than the sum of its proper divisors (181624019964404).

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

133302033001120 is an equidigital number, since it uses as much as digits as its factorization.

133302033001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833137706272 (or 833137706264 counting only the distinct ones).

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

Adding to 133302033001120 its reverse (21100330203331), we get a palindrome (154402363204451).

The spelling of 133302033001120 in words is "one hundred thirty-three trillion, three hundred two billion, thirty-three million, one thousand, one hundred twenty".