2131111111120 has 80 divisors (see below), whose sum is σ = 4964957990208. Its totient is φ = 850703892480.

The previous prime is 2131111111081. The next prime is 2131111111121. The reversal of 2131111111120 is 211111111312.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 2131111111094 and 2131111111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131111111121) by changing a digit.

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, 120345307 + ... + 120363013.

Almost surely, 2^{2131111111120} is an apocalyptic number.

2131111111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131111111120 is an abundant number, since it is smaller than the sum of its proper divisors (2833846879088).

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

2131111111120 is a wasteful number, since it uses less digits than its factorization.

2131111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20708 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 2131111111120 its reverse (211111111312), we get a palindrome (2342222222432).

It can be divided in two parts, 213111 and 1111120, that added together give a palindrome (1324231).

The spelling of 2131111111120 in words is "two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".