11131311114 has 320 divisors, whose sum is σ = 32178643200. Its totient is φ = 2792724480.

The previous prime is 11131311097. The next prime is 11131311131. The reversal of 11131311114 is 41111313111.

It is an interprime number because it is at equal distance from previous prime (11131311097) and next prime (11131311131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74706712 + ... + 74706860.

It is an arithmetic number, because the mean of its divisors is an integer number (100558260).

Almost surely, 2^11131311114 is an apocalyptic number.

11131311114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089321600).

11131311114 is an abundant number, since it is smaller than the sum of its proper divisors (21047332086).

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

11131311114 is a wasteful number, since it uses less digits than its factorization.

11131311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 11131311114 its reverse (41111313111), we get a palindrome (52242624225).

The spelling of 11131311114 in words is "eleven billion, one hundred thirty-one million, three hundred eleven thousand, one hundred fourteen".