31331300112 has 180 divisors, whose sum is σ = 102111148620. Its totient is φ = 8942040576.

The previous prime is 31331300089. The next prime is 31331300137. The reversal of 31331300112 is 21100313313.

It is a happy number.

31331300112 is a `hidden beast` number, since 31 + 331 + 300 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14247764496 + 17083535616 = 119364^2 + 130704^2 .

It is a super-2 number, since 2×31331300112² (a number of 22 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 8670018 + ... + 8673630.

It is an arithmetic number, because the mean of its divisors is an integer number (567284159).

Almost surely, 2^31331300112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51055574310).

31331300112 is an abundant number, since it is smaller than the sum of its proper divisors (70779848508).

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

31331300112 is a wasteful number, since it uses less digits than its factorization.

31331300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31331300112 its reverse (21100313313), we get a palindrome (52431613425).

The spelling of 31331300112 in words is "thirty-one billion, three hundred thirty-one million, three hundred thousand, one hundred twelve".