211013100013300 has 144 divisors (see below), whose sum is σ = 523246596949440. Its totient is φ = 73172413347840.

The previous prime is 211013100013297. The next prime is 211013100013343. The reversal of 211013100013300 is 3310001310112.

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, 97891 + ... + 20543509.

It is an arithmetic number, because the mean of its divisors is an integer number (3633656923260).

Almost surely, 2^{211013100013300} is an apocalyptic number.

211013100013300 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 211013100013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261623298474720).

211013100013300 is an abundant number, since it is smaller than the sum of its proper divisors (312233496936140).

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

211013100013300 is a wasteful number, since it uses less digits than its factorization.

211013100013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20446130 (or 20446123 counting only the distinct ones).

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

Adding to 211013100013300 its reverse (3310001310112), we get a palindrome (214323101323412).

The spelling of 211013100013300 in words is "two hundred eleven trillion, thirteen billion, one hundred million, thirteen thousand, three hundred".