213003000201300 has 144 divisors (see below), whose sum is σ = 628624721192832. Its totient is φ = 55666254425600.

The previous prime is 213003000201287. The next prime is 213003000201403. The reversal of 213003000201300 is 3102000300312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213003000201300.

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, 6551770 + ... + 21654830.

It is an arithmetic number, because the mean of its divisors is an integer number (4365449452728).

Almost surely, 2^{213003000201300} is an apocalyptic number.

213003000201300 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 213003000201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314312360596416).

213003000201300 is an abundant number, since it is smaller than the sum of its proper divisors (415621720991532).

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

213003000201300 is a wasteful number, since it uses less digits than its factorization.

213003000201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15104018 (or 15104011 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213003000201300 its reverse (3102000300312), we get a palindrome (216105000501612).

The spelling of 213003000201300 in words is "two hundred thirteen trillion, three billion, two hundred one thousand, three hundred".