213101133300 has 648 divisors, whose sum is σ = 759839283840. Its totient is φ = 49528627200.

The previous prime is 213101133283. The next prime is 213101133307. The reversal of 213101133300 is 3331101312.

It is a happy number.

213101133300 is a `hidden beast` number, since 21 + 310 + 1 + 1 + 3 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101133307) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2196918852 + ... + 2196918948.

Almost surely, 2^213101133300 is an apocalyptic number.

213101133300 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 213101133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379919641920).

213101133300 is an abundant number, since it is smaller than the sum of its proper divisors (546738150540).

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

213101133300 is a wasteful number, since it uses less digits than its factorization.

213101133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213101133300 its reverse (3331101312), we get a palindrome (216432234612).

The spelling of 213101133300 in words is "two hundred thirteen billion, one hundred one million, one hundred thirty-three thousand, three hundred".