20111313102120 has 96 divisors (see below), whose sum is σ = 67128301885320. Its totient is φ = 5218070423040.

The previous prime is 20111313102091. The next prime is 20111313102229. The reversal of 20111313102120 is 2120131311102.

20111313102120 is a `hidden beast` number, since 2 + 0 + 11 + 131 + 310 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15483453749604 + 4627859352516 = 3934902^2 + 2151246^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20111313102093 and 20111313102102.

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 23 ways as a sum of consecutive naturals, for example, 754915851 + ... + 754942490.

Almost surely, 2^{20111313102120} is an apocalyptic number.

20111313102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111313102120 is an abundant number, since it is smaller than the sum of its proper divisors (47016988783200).

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

20111313102120 is a wasteful number, since it uses less digits than its factorization.

20111313102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509858395 (or 1509858388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20111313102120 its reverse (2120131311102), we get a palindrome (22231444413222).

The spelling of 20111313102120 in words is "twenty trillion, one hundred eleven billion, three hundred thirteen million, one hundred two thousand, one hundred twenty".