213113320020 has 144 divisors (see below), whose sum is σ = 664621845888. Its totient is φ = 55235416320.

The previous prime is 213113320001. The next prime is 213113320087. The reversal of 213113320020 is 20023311312.

213113320020 is a `hidden beast` number, since 2 + 1 + 311 + 332 + 0 + 0 + 20 = 666.

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 = 213113319975 and 213113320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6423675 + ... + 6456765.

Almost surely, 2^213113320020 is an apocalyptic number.

213113320020 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 213113320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332310922944).

213113320020 is an abundant number, since it is smaller than the sum of its proper divisors (451508525868).

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

213113320020 is a wasteful number, since it uses less digits than its factorization.

213113320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34110 (or 34105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213113320020 its reverse (20023311312), we get a palindrome (233136631332).

The spelling of 213113320020 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand, twenty".