213122130000 has 200 divisors, whose sum is σ = 740910057888. Its totient is φ = 52460736000.

The previous prime is 213122129951. The next prime is 213122130049. The reversal of 213122130000 is 31221312.

It is an interprime number because it is at equal distance from previous prime (213122129951) and next prime (213122130049).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116767 + ... + 663233.

Almost surely, 2^213122130000 is an apocalyptic number.

213122130000 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 213122130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370455028944).

213122130000 is an abundant number, since it is smaller than the sum of its proper divisors (527787927888).

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

213122130000 is a wasteful number, since it uses less digits than its factorization.

213122130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546511 (or 546490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213122130000 its reverse (31221312), we get a palindrome (213153351312).

The spelling of 213122130000 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty thousand".