130441232016 has 180 divisors, whose sum is σ = 393112590052. Its totient is φ = 40361213952.

The previous prime is 130441231969. The next prime is 130441232017. The reversal of 130441232016 is 610232144031.

It is a happy number.

130441232016 is a `hidden beast` number, since 13 + 0 + 441 + 2 + 3 + 201 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 279023616 + 130162208400 = 16704^2 + 360780^2 .

It is not an unprimeable number, because it can be changed into a prime (130441232017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3016500 + ... + 3059436.

Almost surely, 2^130441232016 is an apocalyptic number.

130441232016 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 130441232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196556295026).

130441232016 is an abundant number, since it is smaller than the sum of its proper divisors (262671358036).

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

130441232016 is a wasteful number, since it uses less digits than its factorization.

130441232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43058 (or 43032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130441232016 its reverse (610232144031), we get a palindrome (740673376047).

The spelling of 130441232016 in words is "one hundred thirty billion, four hundred forty-one million, two hundred thirty-two thousand, sixteen".