213414001300 has 18 divisors (see below), whose sum is σ = 463108383038. Its totient is φ = 85365600480.

The previous prime is 213414001249. The next prime is 213414001319. The reversal of 213414001300 is 3100414312.

213414001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 65390672656 + 148023328644 = 255716^2 + 384738^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1067069907 + ... + 1067070106.

Almost surely, 2^213414001300 is an apocalyptic number.

213414001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213414001300 is an abundant number, since it is smaller than the sum of its proper divisors (249694381738).

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

213414001300 is a wasteful number, since it uses less digits than its factorization.

213414001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134140027 (or 2134140020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213414001300 its reverse (3100414312), we get a palindrome (216514415612).

The spelling of 213414001300 in words is "two hundred thirteen billion, four hundred fourteen million, one thousand, three hundred".