213301111100 has 324 divisors, whose sum is σ = 594794040120. Its totient is φ = 66151008000.

The previous prime is 213301111097. The next prime is 213301111109. The reversal of 213301111100 is 1111103312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301111109) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 135773315 + ... + 135774885.

Almost surely, 2^213301111100 is an apocalyptic number.

213301111100 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 213301111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297397020060).

213301111100 is an abundant number, since it is smaller than the sum of its proper divisors (381492929020).

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

213301111100 is a wasteful number, since it uses less digits than its factorization.

213301111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 213301111100 its reverse (1111103312), we get a palindrome (214412214412).

The spelling of 213301111100 in words is "two hundred thirteen billion, three hundred one million, one hundred eleven thousand, one hundred".