213132313100 has 288 divisors, whose sum is σ = 552917944320. Its totient is φ = 69797376000.

The previous prime is 213132313091. The next prime is 213132313111. The reversal of 213132313100 is 1313231312.

It is a super-2 number, since 2×213132313100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521105696 + ... + 521106104.

Almost surely, 2^213132313100 is an apocalyptic number.

213132313100 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 213132313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276458972160).

213132313100 is an abundant number, since it is smaller than the sum of its proper divisors (339785631220).

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

213132313100 is a wasteful number, since it uses less digits than its factorization.

213132313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213132313100 its reverse (1313231312), we get a palindrome (214445544412).

The spelling of 213132313100 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred".