1131314688 has 280 divisors, whose sum is σ = 3882178608. Its totient is φ = 322486272.

The previous prime is 1131314687. The next prime is 1131314693. The reversal of 1131314688 is 8864131311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131314683) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612520 + ... + 2612952.

Almost surely, 2^1131314688 is an apocalyptic number.

1131314688 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 1131314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941089304).

1131314688 is an abundant number, since it is smaller than the sum of its proper divisors (2750863920).

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

1131314688 is an frugal number, since it uses more digits than its factorization.

1131314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1131314688 is about 33635.0217481719. The cubic root of 1131314688 is about 1041.9842197818.

Adding to 1131314688 its reverse (8864131311), we get a palindrome (9995445999).

The spelling of 1131314688 in words is "one billion, one hundred thirty-one million, three hundred fourteen thousand, six hundred eighty-eight".