220132013301000 has 384 divisors, whose sum is σ = 765568675553760. Its totient is φ = 57009712896000.

The previous prime is 220132013300893. The next prime is 220132013301007. The reversal of 220132013301000 is 103310231022.

220132013301000 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 320 + 1 + 330 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17435117589444 + 202696895711556 = 4175538^2 + 14237166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220132013301007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179542042 + ... + 180763958.

Almost surely, 2^{220132013301000} is an apocalyptic number.

220132013301000 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 220132013301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382784337776880).

220132013301000 is an abundant number, since it is smaller than the sum of its proper divisors (545436662252760).

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

220132013301000 is a wasteful number, since it uses less digits than its factorization.

220132013301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222522 (or 1222505 counting only the distinct ones).

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

Adding to 220132013301000 its reverse (103310231022), we get a palindrome (220235323532022).

The spelling of 220132013301000 in words is "two hundred twenty trillion, one hundred thirty-two billion, thirteen million, three hundred one thousand".