213300132300100 has 108 divisors (see below), whose sum is σ = 466306191462384. Its totient is φ = 84689705472960.

The previous prime is 213300132300071. The next prime is 213300132300131. The reversal of 213300132300100 is 1003231003312.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16204516119 + ... + 16204529281.

It is an arithmetic number, because the mean of its divisors is an integer number (4317649920948).

Almost surely, 2^{213300132300100} is an apocalyptic number.

213300132300100 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 213300132300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233153095731192).

213300132300100 is an abundant number, since it is smaller than the sum of its proper divisors (253006059162284).

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

213300132300100 is a wasteful number, since it uses less digits than its factorization.

213300132300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842 (or 21696 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213300132300100 its reverse (1003231003312), we get a palindrome (214303363303412).

The spelling of 213300132300100 in words is "two hundred thirteen trillion, three hundred billion, one hundred thirty-two million, three hundred thousand, one hundred".