20100013311120 has 80 divisors (see below), whose sum is σ = 64458663399360. Its totient is φ = 5175175839232.

The previous prime is 20100013311041. The next prime is 20100013311139. The reversal of 20100013311120 is 2111331000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20100013311120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443959514 + ... + 1443973433.

It is an arithmetic number, because the mean of its divisors is an integer number (805733292492).

Almost surely, 2^{20100013311120} is an apocalyptic number.

20100013311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100013311120 is an abundant number, since it is smaller than the sum of its proper divisors (44358650088240).

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

20100013311120 is a wasteful number, since it uses less digits than its factorization.

20100013311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887932992 (or 2887932986 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20100013311120 its reverse (2111331000102), we get a palindrome (22211344311222).

The spelling of 20100013311120 in words is "twenty trillion, one hundred billion, thirteen million, three hundred eleven thousand, one hundred twenty".