213121113100 has 288 divisors, whose sum is σ = 554574504960. Its totient is φ = 69552000000.

The previous prime is 213121113097. The next prime is 213121113113. The reversal of 213121113100 is 1311121312.

It is a happy number.

It is a super-2 number, since 2×213121113100² (a number of 23 digits) contains 22 as substring.

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, 769390162 + ... + 769390438.

It is an arithmetic number, because the mean of its divisors is an integer number (1925605920).

Almost surely, 2^213121113100 is an apocalyptic number.

213121113100 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 213121113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277287252480).

213121113100 is an abundant number, since it is smaller than the sum of its proper divisors (341453391860).

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

213121113100 is a wasteful number, since it uses less digits than its factorization.

213121113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213121113100 its reverse (1311121312), we get a palindrome (214432234412).

The spelling of 213121113100 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred".