201300000 has 288 divisors, whose sum is σ = 732328128. Its totient is φ = 48000000.

The previous prime is 201299993. The next prime is 201300031. The reversal of 201300000 is 3102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3299970 + ... + 3300030.

It is an arithmetic number, because the mean of its divisors is an integer number (2542806).

Almost surely, 2^201300000 is an apocalyptic number.

201300000 is a gapful number since it is divisible by the number (20) 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 201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366164064).

201300000 is an abundant number, since it is smaller than the sum of its proper divisors (531028128).

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

201300000 is an equidigital number, since it uses as much as digits as its factorization.

201300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 201300000 is about 14188.0231181092. The cubic root of 201300000 is about 586.0678865390.

Adding to 201300000 its reverse (3102), we get a palindrome (201303102).

The spelling of 201300000 in words is "two hundred one million, three hundred thousand".