300130213220100 has 216 divisors, whose sum is σ = 958598689007232. Its totient is φ = 78515838086400.

The previous prime is 300130213220023. The next prime is 300130213220143. The reversal of 300130213220100 is 1022312031003.

300130213220100 is a `hidden beast` number, since 3 + 0 + 0 + 130 + 213 + 220 + 100 = 666.

It is a super-2 number, since 2×300130213220100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431003205 + ... + 431698995.

It is an arithmetic number, because the mean of its divisors is an integer number (4437956893552).

Almost surely, 2^{300130213220100} is an apocalyptic number.

300130213220100 is a gapful number since it is divisible by the number (30) 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 300130213220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479299344503616).

300130213220100 is an abundant number, since it is smaller than the sum of its proper divisors (658468475787132).

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

300130213220100 is a wasteful number, since it uses less digits than its factorization.

300130213220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704907 (or 704897 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300130213220100 its reverse (1022312031003), we get a palindrome (301152525251103).

The spelling of 300130213220100 in words is "three hundred trillion, one hundred thirty billion, two hundred thirteen million, two hundred twenty thousand, one hundred".