213301123000 has 128 divisors (see below), whose sum is σ = 571858185600. Its totient is φ = 72948480000.

The previous prime is 213301122971. The next prime is 213301123027. The reversal of 213301123000 is 321103312.

It is a super-2 number, since 2×213301123000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769006 + ... + 2844994.

It is an arithmetic number, because the mean of its divisors is an integer number (4467642075).

Almost surely, 2^213301123000 is an apocalyptic number.

213301123000 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 213301123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285929092800).

213301123000 is an abundant number, since it is smaller than the sum of its proper divisors (358557062600).

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

213301123000 is a wasteful number, since it uses less digits than its factorization.

213301123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76418 (or 76404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213301123000 its reverse (321103312), we get a palindrome (213622226312).

The spelling of 213301123000 in words is "two hundred thirteen billion, three hundred one million, one hundred twenty-three thousand".