31113113121120 has 96 divisors (see below), whose sum is σ = 98017677162720. Its totient is φ = 8295867555840.

The previous prime is 31113113121119. The next prime is 31113113121121. The reversal of 31113113121120 is 2112131131113.

It is an interprime number because it is at equal distance from previous prime (31113113121119) and next prime (31113113121121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113113121121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 386040 + ... + 7897800.

It is an arithmetic number, because the mean of its divisors is an integer number (1021017470445).

Almost surely, 2^{31113113121120} is an apocalyptic number.

31113113121120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113113121120 is an abundant number, since it is smaller than the sum of its proper divisors (66904564041600).

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

31113113121120 is a wasteful number, since it uses less digits than its factorization.

31113113121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520408 (or 7520400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 31113113121120 its reverse (2112131131113), we get a palindrome (33225244252233).

The spelling of 31113113121120 in words is "thirty-one trillion, one hundred thirteen billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".