201300301323120 has 80 divisors (see below), whose sum is σ = 624103426386720. Its totient is φ = 53673844457472.

The previous prime is 201300301323083. The next prime is 201300301323131. The reversal of 201300301323120 is 21323103003102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201300301323120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46647469 + ... + 50779788.

It is an arithmetic number, because the mean of its divisors is an integer number (7801292829834).

Almost surely, 2^{201300301323120} is an apocalyptic number.

201300301323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201300301323120 is an abundant number, since it is smaller than the sum of its proper divisors (422803125063600).

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

201300301323120 is a wasteful number, since it uses less digits than its factorization.

201300301323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97435882 (or 97435876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201300301323120 its reverse (21323103003102), we get a palindrome (222623404326222).

The spelling of 201300301323120 in words is "two hundred one trillion, three hundred billion, three hundred one million, three hundred twenty-three thousand, one hundred twenty".