11300111361 has 64 divisors (see below), whose sum is σ = 22099599360. Its totient is φ = 5524865280.

The previous prime is 11300111359. The next prime is 11300111387. The reversal of 11300111361 is 16311100311.

11300111361 is a `hidden beast` number, since 1 + 1 + 300 + 1 + 1 + 1 + 361 = 666.

It is not a de Polignac number, because 11300111361 - 2¹ = 11300111359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11300119361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124521 + ... + 195206.

It is an arithmetic number, because the mean of its divisors is an integer number (345306240).

Almost surely, 2^11300111361 is an apocalyptic number.

11300111361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11300111361 is a deficient number, since it is larger than the sum of its proper divisors (10799487999).

11300111361 is a wasteful number, since it uses less digits than its factorization.

11300111361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319771 (or 319765 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11300111361 its reverse (16311100311), we get a palindrome (27611211672).

The spelling of 11300111361 in words is "eleven billion, three hundred million, one hundred eleven thousand, three hundred sixty-one".