1305313130032 has 80 divisors (see below), whose sum is σ = 2795750346240. Its totient is φ = 587239842816.

The previous prime is 1305313129951. The next prime is 1305313130047. The reversal of 1305313130032 is 2300313135031.

It is a junction number, because it is equal to n+sod(n) for n = 1305313129979 and 1305313130006.

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 15 ways as a sum of consecutive naturals, for example, 11699503 + ... + 11810545.

It is an arithmetic number, because the mean of its divisors is an integer number (34946879328).

Almost surely, 2^{1305313130032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305313130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397875173120).

1305313130032 is an abundant number, since it is smaller than the sum of its proper divisors (1490437216208).

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

1305313130032 is a wasteful number, since it uses less digits than its factorization.

1305313130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112970 (or 112964 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 1305313130032 its reverse (2300313135031), we get a palindrome (3605626265063).

The spelling of 1305313130032 in words is "one trillion, three hundred five billion, three hundred thirteen million, one hundred thirty thousand, thirty-two".