20013113322000 has 240 divisors, whose sum is σ = 69906574286640. Its totient is φ = 5336262144000.

The previous prime is 20013113321963. The next prime is 20013113322049. The reversal of 20013113322000 is 22331131002.

20013113322000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 311 + 332 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1512929520144 + 18500183801856 = 1230012^2 + 4301184^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185147970 + ... + 185256030.

It is an arithmetic number, because the mean of its divisors is an integer number (291277392861).

Almost surely, 2^{20013113322000} is an apocalyptic number.

20013113322000 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 20013113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953287143320).

20013113322000 is an abundant number, since it is smaller than the sum of its proper divisors (49893460964640).

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

20013113322000 is a wasteful number, since it uses less digits than its factorization.

20013113322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118379 (or 118360 counting only the distinct ones).

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

Adding to 20013113322000 its reverse (22331131002), we get a palindrome (20035444453002).

The spelling of 20013113322000 in words is "twenty trillion, thirteen billion, one hundred thirteen million, three hundred twenty-two thousand".