20013141223140 has 384 divisors, whose sum is σ = 61664924160000. Its totient is φ = 4820257880064.

The previous prime is 20013141223067. The next prime is 20013141223151. The reversal of 20013141223140 is 4132214131002.

It is a self number, because there is not a number n which added to its sum of digits gives 20013141223140.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2308582726 + ... + 2308591394.

It is an arithmetic number, because the mean of its divisors is an integer number (160585740000).

Almost surely, 2^{20013141223140} is an apocalyptic number.

20013141223140 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 20013141223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30832462080000).

20013141223140 is an abundant number, since it is smaller than the sum of its proper divisors (41651782936860).

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

20013141223140 is a wasteful number, since it uses less digits than its factorization.

20013141223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20013141223140 its reverse (4132214131002), we get a palindrome (24145355354142).

The spelling of 20013141223140 in words is "twenty trillion, thirteen billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred forty".