130201883644816 has 135 divisors (see below), whose sum is σ = 276952704929523. Its totient is φ = 59284021294080.

The previous prime is 130201883644727. The next prime is 130201883644841. The reversal of 130201883644816 is 618446388102031.

The square root of 130201883644816 is 11410604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2829814416 + 130199053830400 = 53196^2 + 11410480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24053550526 + ... + 24053555938.

Almost surely, 2^{130201883644816} is an apocalyptic number.

130201883644816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130201883644816 is the 11410604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130201883644816

130201883644816 is an abundant number, since it is smaller than the sum of its proper divisors (146750821284707).

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

130201883644816 is an frugal number, since it uses more digits than its factorization.

130201883644816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10930 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 130201883644816 in words is "one hundred thirty trillion, two hundred one billion, eight hundred eighty-three million, six hundred forty-four thousand, eight hundred sixteen".