131033034 has 48 divisors (see below), whose sum is σ = 313672320. Its totient is φ = 39199680.

The previous prime is 131033033. The next prime is 131033069. The reversal of 131033034 is 430330131.

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 = 131032998 and 131033016.

It is not an unprimeable number, because it can be changed into a prime (131033033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11454 + ... + 19830.

It is an arithmetic number, because the mean of its divisors is an integer number (6534840).

Almost surely, 2^131033034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131033034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156836160).

131033034 is an abundant number, since it is smaller than the sum of its proper divisors (182639286).

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

131033034 is a wasteful number, since it uses less digits than its factorization.

131033034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131033034 is about 11446.9661482858. The cubic root of 131033034 is about 507.9179941820.

Adding to 131033034 its reverse (430330131), we get a palindrome (561363165).

The spelling of 131033034 in words is "one hundred thirty-one million, thirty-three thousand, thirty-four".