133310434111120 has 80 divisors (see below), whose sum is σ = 354235237993728. Its totient is φ = 45705096460800.

The previous prime is 133310434111111. The next prime is 133310434111123. The reversal of 133310434111120 is 21111434013331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133310434111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15755670 + ... + 22690570.

Almost surely, 2^{133310434111120} is an apocalyptic number.

133310434111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133310434111120 is an abundant number, since it is smaller than the sum of its proper divisors (220924803882608).

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

133310434111120 is a wasteful number, since it uses less digits than its factorization.

133310434111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969248 (or 6969242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 133310434111120 its reverse (21111434013331), we get a palindrome (154421868124451).

The spelling of 133310434111120 in words is "one hundred thirty-three trillion, three hundred ten billion, four hundred thirty-four million, one hundred eleven thousand, one hundred twenty".