220013122013300 has 576 divisors, whose sum is σ = 648514385756160. Its totient is φ = 62701558272000.

The previous prime is 220013122013287. The next prime is 220013122013339. The reversal of 220013122013300 is 3310221310022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1691601872 + ... + 1691731928.

Almost surely, 2^{220013122013300} is an apocalyptic number.

220013122013300 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 220013122013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324257192878080).

220013122013300 is an abundant number, since it is smaller than the sum of its proper divisors (428501263742860).

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

220013122013300 is a wasteful number, since it uses less digits than its factorization.

220013122013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130512 (or 130505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220013122013300 its reverse (3310221310022), we get a palindrome (223323343323322).

The spelling of 220013122013300 in words is "two hundred twenty trillion, thirteen billion, one hundred twenty-two million, thirteen thousand, three hundred".