131101056 has 96 divisors (see below), whose sum is σ = 379501200. Its totient is φ = 43441152.

The previous prime is 131101051. The next prime is 131101079. The reversal of 131101056 is 650101131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365005 + ... + 365363.

Almost surely, 2^131101056 is an apocalyptic number.

131101056 is a gapful number since it is divisible by the number (16) 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 131101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189750600).

131101056 is an abundant number, since it is smaller than the sum of its proper divisors (248400144).

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

131101056 is a wasteful number, since it uses less digits than its factorization.

131101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 131101056 is about 11449.9369430578. The cubic root of 131101056 is about 508.0058692773.

Adding to 131101056 its reverse (650101131), we get a palindrome (781202187).

The spelling of 131101056 in words is "one hundred thirty-one million, one hundred one thousand, fifty-six".