131132034 has 96 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 37616400.

The previous prime is 131132011. The next prime is 131132047. The reversal of 131132034 is 430231131.

131132034 is a `hidden beast` number, since 1 + 311 + 320 + 34 = 666.

It is a super-2 number, since 2×131132034² = 34391220681954312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131131998 and 131132016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100929 + ... + 102219.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^131132034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

131132034 is an abundant number, since it is smaller than the sum of its proper divisors (207475326).

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

131132034 is a wasteful number, since it uses less digits than its factorization.

131132034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131132034 is about 11451.2896216976. The cubic root of 131132034 is about 508.0458785316.

Adding to 131132034 its reverse (430231131), we get a palindrome (561363165).

The spelling of 131132034 in words is "one hundred thirty-one million, one hundred thirty-two thousand, thirty-four".