213323133100 has 216 divisors, whose sum is σ = 589491235424. Its totient is φ = 65577600000.

The previous prime is 213323133083. The next prime is 213323133227. The reversal of 213323133100 is 1331323312.

It is a super-2 number, since 2×213323133100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6165850 + ... + 6200350.

Almost surely, 2^213323133100 is an apocalyptic number.

213323133100 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 213323133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294745617712).

213323133100 is an abundant number, since it is smaller than the sum of its proper divisors (376168102324).

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

213323133100 is a wasteful number, since it uses less digits than its factorization.

213323133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34617 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213323133100 its reverse (1331323312), we get a palindrome (214654456412).

The spelling of 213323133100 in words is "two hundred thirteen billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred".