213314381000 has 128 divisors (see below), whose sum is σ = 571709698560. Its totient is φ = 72976608000.

The previous prime is 213314380967. The next prime is 213314381003. The reversal of 213314381000 is 183413312.

It is a super-2 number, since 2×213314381000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213314381003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193949 + ... + 3260051.

It is an arithmetic number, because the mean of its divisors is an integer number (4466482020).

Almost surely, 2^213314381000 is an apocalyptic number.

213314381000 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 213314381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285854849280).

213314381000 is an abundant number, since it is smaller than the sum of its proper divisors (358395317560).

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

213314381000 is a wasteful number, since it uses less digits than its factorization.

213314381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66592 (or 66578 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 213314381000 its reverse (183413312), we get a palindrome (213497794312).

The spelling of 213314381000 in words is "two hundred thirteen billion, three hundred fourteen million, three hundred eighty-one thousand".