213100031100 has 288 divisors, whose sum is σ = 693370121472. Its totient is φ = 50077440000.

The previous prime is 213100030967. The next prime is 213100031107. The reversal of 213100031100 is 1130001312.

213100031100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213100031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34306995 + ... + 34313205.

It is an arithmetic number, because the mean of its divisors is an integer number (2407535144).

Almost surely, 2^213100031100 is an apocalyptic number.

213100031100 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 213100031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346685060736).

213100031100 is an abundant number, since it is smaller than the sum of its proper divisors (480270090372).

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

213100031100 is a wasteful number, since it uses less digits than its factorization.

213100031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213100031100 its reverse (1130001312), we get a palindrome (214230032412).

The spelling of 213100031100 in words is "two hundred thirteen billion, one hundred million, thirty-one thousand, one hundred".