13111488 has 168 divisors, whose sum is σ = 43269408. Its totient is φ = 3760128.

The previous prime is 13111477. The next prime is 13111489. The reversal of 13111488 is 88411131.

It is a super-2 number, since 2×13111488² = 343822235148288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13111489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127245 + ... + 127347.

It is an arithmetic number, because the mean of its divisors is an integer number (257556).

Almost surely, 2^13111488 is an apocalyptic number.

13111488 is a gapful number since it is divisible by the number (18) 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 13111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

13111488 is an abundant number, since it is smaller than the sum of its proper divisors (30157920).

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

13111488 is a wasteful number, since it uses less digits than its factorization.

13111488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 13111488 is about 3620.9788731778. The cubic root of 13111488 is about 235.8037245795.

The spelling of 13111488 in words is "thirteen million, one hundred eleven thousand, four hundred eighty-eight".