213050333100 has 144 divisors (see below), whose sum is σ = 672634448640. Its totient is φ = 51635500800.

The previous prime is 213050333099. The next prime is 213050333101. The reversal of 213050333100 is 1333050312.

213050333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213050333099) and next prime (213050333101).

It is a super-2 number, since 2×213050333100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213050333101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22134889 + ... + 22144511.

It is an arithmetic number, because the mean of its divisors is an integer number (4671072560).

Almost surely, 2^213050333100 is an apocalyptic number.

213050333100 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 213050333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336317224320).

213050333100 is an abundant number, since it is smaller than the sum of its proper divisors (459584115540).

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

213050333100 is a wasteful number, since it uses less digits than its factorization.

213050333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 213050333100 its reverse (1333050312), we get a palindrome (214383383412).

The spelling of 213050333100 in words is "two hundred thirteen billion, fifty million, three hundred thirty-three thousand, one hundred".