213142031100 has 252 divisors, whose sum is σ = 694300890024. Its totient is φ = 56768999040.

The previous prime is 213142031099. The next prime is 213142031111. The reversal of 213142031100 is 1130241312.

213142031100 is a `hidden beast` number, since 2 + 131 + 420 + 3 + 110 + 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 an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 95279182 + ... + 95281418.

It is an arithmetic number, because the mean of its divisors is an integer number (2755162262).

Almost surely, 2^213142031100 is an apocalyptic number.

213142031100 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 213142031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347150445012).

213142031100 is an abundant number, since it is smaller than the sum of its proper divisors (481158858924).

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

213142031100 is a wasteful number, since it uses less digits than its factorization.

213142031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213142031100 its reverse (1130241312), we get a palindrome (214272272412).

The spelling of 213142031100 in words is "two hundred thirteen billion, one hundred forty-two million, thirty-one thousand, one hundred".