20013200221320 has 96 divisors (see below), whose sum is σ = 65639624707800. Its totient is φ = 5287891424256.

The previous prime is 20013200221279. The next prime is 20013200221321. The reversal of 20013200221320 is 2312200231002.

20013200221320 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 320 + 0 + 2 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19923707105604 + 89493115716 = 4463598^2 + 299154^2 .

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 = 20013200221293 and 20013200221302.

It is not an unprimeable number, because it can be changed into a prime (20013200221321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254970957 + ... + 255049436.

Almost surely, 2^{20013200221320} is an apocalyptic number.

20013200221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013200221320 is an abundant number, since it is smaller than the sum of its proper divisors (45626424486480).

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

20013200221320 is a wasteful number, since it uses less digits than its factorization.

20013200221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510020519 (or 510020512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20013200221320 its reverse (2312200231002), we get a palindrome (22325400452322).

The spelling of 20013200221320 in words is "twenty trillion, thirteen billion, two hundred million, two hundred twenty-one thousand, three hundred twenty".