213012130100 has 288 divisors, whose sum is σ = 613670722560. Its totient is φ = 62131968000.

The previous prime is 213012130069. The next prime is 213012130127. The reversal of 213012130100 is 1031210312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23426555 + ... + 23435645.

It is an arithmetic number, because the mean of its divisors is an integer number (2130801120).

Almost surely, 2^213012130100 is an apocalyptic number.

213012130100 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 213012130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306835361280).

213012130100 is an abundant number, since it is smaller than the sum of its proper divisors (400658592460).

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

213012130100 is a wasteful number, since it uses less digits than its factorization.

213012130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213012130100 its reverse (1031210312), we get a palindrome (214043340412).

It can be divided in two parts, 21301 and 2130100, that multiplied together give a square (45373260100 = 213010²).

The spelling of 213012130100 in words is "two hundred thirteen billion, twelve million, one hundred thirty thousand, one hundred".