1305320511011 has 32 divisors (see below), whose sum is σ = 1466205250752. Its totient is φ = 1151981608960.

The previous prime is 1305320510999. The next prime is 1305320511167. The reversal of 1305320511011 is 1101150235031.

It is a cyclic number.

It is not a de Polignac number, because 1305320511011 - 2³⁸ = 1030442604067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305320511511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39049541 + ... + 39082953.

It is an arithmetic number, because the mean of its divisors is an integer number (45818914086).

Almost surely, 2^{1305320511011} is an apocalyptic number.

1305320511011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1305320511011 is a deficient number, since it is larger than the sum of its proper divisors (160884739741).

1305320511011 is a wasteful number, since it uses less digits than its factorization.

1305320511011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34183.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 1305320511011 its reverse (1101150235031), we get a palindrome (2406470746042).

The spelling of 1305320511011 in words is "one trillion, three hundred five billion, three hundred twenty million, five hundred eleven thousand, eleven".