131111064 has 96 divisors (see below), whose sum is σ = 414180000. Its totient is φ = 37453248.

The previous prime is 131111011. The next prime is 131111081. The reversal of 131111064 is 460111131.

It is a super-2 number, since 2×131111064² = 34380222206424192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22042 + ... + 27350.

It is an arithmetic number, because the mean of its divisors is an integer number (4314375).

Almost surely, 2^131111064 is an apocalyptic number.

131111064 is a gapful number since it is divisible by the number (14) 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 131111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207090000).

131111064 is an abundant number, since it is smaller than the sum of its proper divisors (283068936).

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

131111064 is a wasteful number, since it uses less digits than its factorization.

131111064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 131111064 is about 11450.3739676921. The cubic root of 131111064 is about 508.0187956755.

Adding to 131111064 its reverse (460111131), we get a palindrome (591222195).

The spelling of 131111064 in words is "one hundred thirty-one million, one hundred eleven thousand, sixty-four".