130544434511000 has 256 divisors, whose sum is σ = 328968505008000. Its totient is φ = 48312949555200.

The previous prime is 130544434510921. The next prime is 130544434511003. The reversal of 130544434511000 is 115434445031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130544434511003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261499631 + ... + 261998369.

Almost surely, 2^{130544434511000} is an apocalyptic number.

130544434511000 is a gapful number since it is divisible by the number (10) 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 130544434511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164484252504000).

130544434511000 is an abundant number, since it is smaller than the sum of its proper divisors (198424070497000).

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

130544434511000 is a wasteful number, since it uses less digits than its factorization.

130544434511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499039 (or 499025 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 130544434511000 its reverse (115434445031), we get a palindrome (130659868956031).

The spelling of 130544434511000 in words is "one hundred thirty trillion, five hundred forty-four billion, four hundred thirty-four million, five hundred eleven thousand".