13111101304 has 96 divisors (see below), whose sum is σ = 29253312000. Its totient is φ = 5491211712.

The previous prime is 13111101251. The next prime is 13111101317. The reversal of 13111101304 is 40310111131.

It is a super-3 number, since 3×13111101304³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4138329 + ... + 4141495.

It is an arithmetic number, because the mean of its divisors is an integer number (304722000).

Almost surely, 2^13111101304 is an apocalyptic number.

13111101304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626656000).

13111101304 is an abundant number, since it is smaller than the sum of its proper divisors (16142210696).

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

13111101304 is a wasteful number, since it uses less digits than its factorization.

13111101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13111101304 its reverse (40310111131), we get a palindrome (53421212435).

The spelling of 13111101304 in words is "thirteen billion, one hundred eleven million, one hundred one thousand, three hundred four".