213300123012300 has 144 divisors (see below), whose sum is σ = 620689382337024. Its totient is φ = 56553804000000.

The previous prime is 213300123012289. The next prime is 213300123012323. The reversal of 213300123012300 is 3210321003312.

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, 257565895 + ... + 258392705.

It is an arithmetic number, because the mean of its divisors is an integer number (4310342932896).

Almost surely, 2^{213300123012300} is an apocalyptic number.

213300123012300 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 213300123012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310344691168512).

213300123012300 is an abundant number, since it is smaller than the sum of its proper divisors (407389259324724).

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

213300123012300 is a wasteful number, since it uses less digits than its factorization.

213300123012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831760 (or 831753 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213300123012300 its reverse (3210321003312), we get a palindrome (216510444015612).

The spelling of 213300123012300 in words is "two hundred thirteen trillion, three hundred billion, one hundred twenty-three million, twelve thousand, three hundred".