213301101001300 has 288 divisors, whose sum is σ = 532291235180544. Its totient is φ = 73579864512000.

The previous prime is 213301101001279. The next prime is 213301101001327. The reversal of 213301101001300 is 3100101103312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689847735 + ... + 690156865.

It is an arithmetic number, because the mean of its divisors is an integer number (1848233455488).

Almost surely, 2^{213301101001300} is an apocalyptic number.

213301101001300 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 213301101001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266145617590272).

213301101001300 is an abundant number, since it is smaller than the sum of its proper divisors (318990134179244).

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

213301101001300 is a wasteful number, since it uses less digits than its factorization.

213301101001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309719 (or 309712 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 213301101001300 its reverse (3100101103312), we get a palindrome (216401202104612).

The spelling of 213301101001300 in words is "two hundred thirteen trillion, three hundred one billion, one hundred one million, one thousand, three hundred".