11320300302311 has 128 divisors (see below), whose sum is σ = 17108154685440. Its totient is φ = 7188258816000.

The previous prime is 11320300302301. The next prime is 11320300302361.

11320300302311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11320300302311 - 2³⁴ = 11303120433127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320300302301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32482295 + ... + 32828951.

It is an arithmetic number, because the mean of its divisors is an integer number (133657458480).

Almost surely, 2^{11320300302311} is an apocalyptic number.

11320300302311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11320300302311 is a deficient number, since it is larger than the sum of its proper divisors (5787854383129).

11320300302311 is a wasteful number, since it uses less digits than its factorization.

11320300302311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346825.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 11320300 and 302311, that added together give a palindrome (11622611).

The spelling of 11320300302311 in words is "eleven trillion, three hundred twenty billion, three hundred million, three hundred two thousand, three hundred eleven".