20010013031120 has 240 divisors, whose sum is σ = 55536577462800. Its totient is φ = 6681451069440.

The previous prime is 20010013031033. The next prime is 20010013031201. The reversal of 20010013031120 is 2113031001002.

It can be written as a sum of positive squares in 8 ways, for example, as 4948969738384 + 15061043292736 = 2224628^2 + 3880856^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20010013031095 and 20010013031104.

It is a congruent number.

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, 91340276 + ... + 91559084.

It is an arithmetic number, because the mean of its divisors is an integer number (231402406095).

Almost surely, 2^{20010013031120} is an apocalyptic number.

20010013031120 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 20010013031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27768288731400).

20010013031120 is an abundant number, since it is smaller than the sum of its proper divisors (35526564431680).

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

20010013031120 is a wasteful number, since it uses less digits than its factorization.

20010013031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219446 (or 219433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20010013031120 its reverse (2113031001002), we get a palindrome (22123044032122).

The spelling of 20010013031120 in words is "twenty trillion, ten billion, thirteen million, thirty-one thousand, one hundred twenty".