3131112111120 has 240 divisors, whose sum is σ = 12724418977920. Its totient is φ = 673583763456.

The previous prime is 3131112111119. The next prime is 3131112111131. The reversal of 3131112111120 is 211112111313.

3131112111120 is a `hidden beast` number, since 31 + 311 + 1 + 211 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3131112111093 and 3131112111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18186450 + ... + 18357809.

It is an arithmetic number, because the mean of its divisors is an integer number (53018412408).

Almost surely, 2^{3131112111120} is an apocalyptic number.

3131112111120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131112111120 is an abundant number, since it is smaller than the sum of its proper divisors (9593306866800).

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

3131112111120 is a wasteful number, since it uses less digits than its factorization.

3131112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36544302 (or 36544293 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 3131112111120 its reverse (211112111313), we get a palindrome (3342224222433).

The spelling of 3131112111120 in words is "three trillion, one hundred thirty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".