213123131000 has 128 divisors (see below), whose sum is σ = 537383246400. Its totient is φ = 78645772800.

The previous prime is 213123130999. The next prime is 213123131021. The reversal of 213123131000 is 131321312.

213123131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213123131000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213123131000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29155346 + ... + 29162654.

Almost surely, 2^213123131000 is an apocalyptic number.

213123131000 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 213123131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268691623200).

213123131000 is an abundant number, since it is smaller than the sum of its proper divisors (324260115400).

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

213123131000 is a wasteful number, since it uses less digits than its factorization.

213123131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213123131000 its reverse (131321312), we get a palindrome (213254452312).

The spelling of 213123131000 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-one thousand".