213223011134100 has 288 divisors, whose sum is σ = 708761929666560. Its totient is φ = 48946996224000.

The previous prime is 213223011134069. The next prime is 213223011134113. The reversal of 213223011134100 is 1431110322312.

213223011134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 133572660 + ... + 135159540.

Almost surely, 2^{213223011134100} is an apocalyptic number.

213223011134100 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 213223011134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354380964833280).

213223011134100 is an abundant number, since it is smaller than the sum of its proper divisors (495538918532460).

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

213223011134100 is a wasteful number, since it uses less digits than its factorization.

213223011134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589071 (or 1589064 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213223011134100 its reverse (1431110322312), we get a palindrome (214654121456412).

The spelling of 213223011134100 in words is "two hundred thirteen trillion, two hundred twenty-three billion, eleven million, one hundred thirty-four thousand, one hundred".