130220323213200 has 240 divisors, whose sum is σ = 455257856013312. Its totient is φ = 31554895680000.

The previous prime is 130220323213103. The next prime is 130220323213207. The reversal of 130220323213200 is 2312323022031.

130220323213200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130220323213207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28370805 + ... + 32639595.

Almost surely, 2^{130220323213200} is an apocalyptic number.

130220323213200 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 130220323213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227628928006656).

130220323213200 is an abundant number, since it is smaller than the sum of its proper divisors (325037532800112).

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

130220323213200 is a wasteful number, since it uses less digits than its factorization.

130220323213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271134 (or 4271123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130220323213200 its reverse (2312323022031), we get a palindrome (132532646235231).

The spelling of 130220323213200 in words is "one hundred thirty trillion, two hundred twenty billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred".