201302131300320 has 192 divisors, whose sum is σ = 663775718215680. Its totient is φ = 51217261670400.

The previous prime is 201302131300241. The next prime is 201302131300321. The reversal of 201302131300320 is 23003131203102.

201302131300320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201302131300321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94213725 + ... + 96326684.

It is an arithmetic number, because the mean of its divisors is an integer number (3457165199040).

Almost surely, 2^{201302131300320} is an apocalyptic number.

201302131300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201302131300320 is an abundant number, since it is smaller than the sum of its proper divisors (462473586915360).

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

201302131300320 is a wasteful number, since it uses less digits than its factorization.

201302131300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190540529 (or 190540521 counting only the distinct ones).

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

Adding to 201302131300320 its reverse (23003131203102), we get a palindrome (224305262503422).

The spelling of 201302131300320 in words is "two hundred one trillion, three hundred two billion, one hundred thirty-one million, three hundred thousand, three hundred twenty".