220013121331300 has 144 divisors (see below), whose sum is σ = 537685014956544. Its totient is φ = 77416346880000.

The previous prime is 220013121331291. The next prime is 220013121331349. The reversal of 220013121331300 is 3133121310022.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 351633534 + ... + 352258666.

It is an arithmetic number, because the mean of its divisors is an integer number (3733923714976).

Almost surely, 2^{220013121331300} is an apocalyptic number.

220013121331300 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 220013121331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268842507478272).

220013121331300 is an abundant number, since it is smaller than the sum of its proper divisors (317671893625244).

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

220013121331300 is a wasteful number, since it uses less digits than its factorization.

220013121331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635510 (or 635503 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 220013121331300 its reverse (3133121310022), we get a palindrome (223146242641322).

The spelling of 220013121331300 in words is "two hundred twenty trillion, thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred".