213130003320 has 384 divisors, whose sum is σ = 770755003200. Its totient is φ = 51037848576.

The previous prime is 213130003243. The next prime is 213130003337. The reversal of 213130003320 is 23300031312.

213130003320 is a `hidden beast` number, since 2 + 1 + 31 + 300 + 0 + 332 + 0 = 666.

It is a super-2 number, since 2×213130003320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213130003293 and 213130003302.

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, 29260399 + ... + 29267681.

Almost surely, 2^213130003320 is an apocalyptic number.

213130003320 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 213130003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385377501600).

213130003320 is an abundant number, since it is smaller than the sum of its proper divisors (557624999880).

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

213130003320 is a wasteful number, since it uses less digits than its factorization.

213130003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213130003320 its reverse (23300031312), we get a palindrome (236430034632).

The spelling of 213130003320 in words is "two hundred thirteen billion, one hundred thirty million, three thousand, three hundred twenty".