31100110301312 has 256 divisors, whose sum is σ = 69314508587520. Its totient is φ = 13807307243520.

The previous prime is 31100110301297. The next prime is 31100110301317. The reversal of 31100110301312 is 21310301100113.

It is not an unprimeable number, because it can be changed into a prime (31100110301317) 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 31 ways as a sum of consecutive naturals, for example, 10939186163 + ... + 10939189005.

It is an arithmetic number, because the mean of its divisors is an integer number (270759799170).

Almost surely, 2^{31100110301312} is an apocalyptic number.

31100110301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100110301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34657254293760).

31100110301312 is an abundant number, since it is smaller than the sum of its proper divisors (38214398286208).

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

31100110301312 is a wasteful number, since it uses less digits than its factorization.

31100110301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 31100110301312 its reverse (21310301100113), we get a palindrome (52410411401425).

The spelling of 31100110301312 in words is "thirty-one trillion, one hundred billion, one hundred ten million, three hundred one thousand, three hundred twelve".