131611116 has 144 divisors (see below), whose sum is σ = 388276224. Its totient is φ = 33965568.

The previous prime is 131611111. The next prime is 131611133. The reversal of 131611116 is 611116131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 131611092 and 131611101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131611111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036245 + ... + 1036371.

Almost surely, 2^131611116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131611116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194138112).

131611116 is an abundant number, since it is smaller than the sum of its proper divisors (256665108).

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

131611116 is a wasteful number, since it uses less digits than its factorization.

131611116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its digits is 108, while the sum is 21.

The square root of 131611116 is about 11472.1888059777. The cubic root of 131611116 is about 508.6638303229.

Adding to 131611116 its reverse (611116131), we get a palindrome (742727247).

The spelling of 131611116 in words is "one hundred thirty-one million, six hundred eleven thousand, one hundred sixteen".