213024001300 has 144 divisors (see below), whose sum is σ = 528484424832. Its totient is φ = 73775257600.

The previous prime is 213024001297. The next prime is 213024001301. The reversal of 213024001300 is 3100420312.

It is a happy number.

213024001300 is digitally balanced in base 3, 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 (213024001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5876832 + ... + 5912968.

It is an arithmetic number, because the mean of its divisors is an integer number (3670030728).

Almost surely, 2^213024001300 is an apocalyptic number.

213024001300 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 213024001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264242212416).

213024001300 is an abundant number, since it is smaller than the sum of its proper divisors (315460423532).

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

213024001300 is a wasteful number, since it uses less digits than its factorization.

213024001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36418 (or 36411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213024001300 its reverse (3100420312), we get a palindrome (216124421612).

The spelling of 213024001300 in words is "two hundred thirteen billion, twenty-four million, one thousand, three hundred".