213100212000 has 768 divisors, whose sum is σ = 774697996800. Its totient is φ = 51189964800.

The previous prime is 213100211999. The next prime is 213100212019. The reversal of 213100212000 is 212001312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1555475932 + ... + 1555476068.

It is an arithmetic number, because the mean of its divisors is an integer number (1008721350).

Almost surely, 2^213100212000 is an apocalyptic number.

213100212000 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 213100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387348998400).

213100212000 is an abundant number, since it is smaller than the sum of its proper divisors (561597784800).

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

213100212000 is a wasteful number, since it uses less digits than its factorization.

213100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213100212000 its reverse (212001312), we get a palindrome (213312213312).

The spelling of 213100212000 in words is "two hundred thirteen billion, one hundred million, two hundred twelve thousand".