13111188321 has 32 divisors (see below), whose sum is σ = 22326829056. Its totient is φ = 6644880000.

The previous prime is 13111188271. The next prime is 13111188323. The reversal of 13111188321 is 12388111131.

It is not a de Polignac number, because 13111188321 - 2⁶ = 13111188257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111188323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682705 + ... + 701646.

It is an arithmetic number, because the mean of its divisors is an integer number (697713408).

Almost surely, 2^13111188321 is an apocalyptic number.

13111188321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13111188321 is a deficient number, since it is larger than the sum of its proper divisors (9215640735).

13111188321 is a wasteful number, since it uses less digits than its factorization.

13111188321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384413.

The product of its digits is 1152, while the sum is 30.

Adding to 13111188321 its reverse (12388111131), we get a palindrome (25499299452).

The spelling of 13111188321 in words is "thirteen billion, one hundred eleven million, one hundred eighty-eight thousand, three hundred twenty-one".