1131365088 has 288 divisors, whose sum is σ = 3893041152. Its totient is φ = 304819200.

The previous prime is 1131365069. The next prime is 1131365107. The reversal of 1131365088 is 8805631311.

1131365088 is a `hidden beast` number, since 1 + 13 + 136 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1131365069) and next prime (1131365107).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2687118 + ... + 2687538.

It is an arithmetic number, because the mean of its divisors is an integer number (13517504).

Almost surely, 2^1131365088 is an apocalyptic number.

1131365088 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 1131365088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946520576).

1131365088 is an abundant number, since it is smaller than the sum of its proper divisors (2761676064).

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

1131365088 is a wasteful number, since it uses less digits than its factorization.

1131365088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1131365088 is about 33635.7709589062. The cubic root of 1131365088 is about 1041.9996929964. Note that the first 3 decimals are identical.

Adding to 1131365088 its reverse (8805631311), we get a palindrome (9936996399).

The spelling of 1131365088 in words is "one billion, one hundred thirty-one million, three hundred sixty-five thousand, eighty-eight".