1305332011120 has 20 divisors (see below), whose sum is σ = 3034896926040. Its totient is φ = 522132804416.

The previous prime is 1305332011079. The next prime is 1305332011153. The reversal of 1305332011120 is 211102335031.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1305332011091 and 1305332011100.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8158324990 + ... + 8158325149.

It is an arithmetic number, because the mean of its divisors is an integer number (151744846302).

Almost surely, 2^{1305332011120} is an apocalyptic number.

1305332011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305332011120 is an abundant number, since it is smaller than the sum of its proper divisors (1729564914920).

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

1305332011120 is a wasteful number, since it uses less digits than its factorization.

1305332011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316650152 (or 16316650146 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 1305332011120 its reverse (211102335031), we get a palindrome (1516434346151).

The spelling of 1305332011120 in words is "one trillion, three hundred five billion, three hundred thirty-two million, eleven thousand, one hundred twenty".