3101101312 has 72 divisors (see below), whose sum is σ = 6452397000. Its totient is φ = 1485668352.

The previous prime is 3101101303. The next prime is 3101101327. The reversal of 3101101312 is 2131011013.

It can be written as a sum of positive squares in 4 ways, for example, as 152176896 + 2948924416 = 12336^2 + 54304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3101101292 and 3101101301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015564 + ... + 1018612.

It is an arithmetic number, because the mean of its divisors is an integer number (89616625).

Almost surely, 2^3101101312 is an apocalyptic number.

3101101312 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 3101101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226198500).

3101101312 is an abundant number, since it is smaller than the sum of its proper divisors (3351295688).

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

3101101312 is a wasteful number, since it uses less digits than its factorization.

3101101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 3101101312 is about 55687.5328237838. The cubic root of 3101101312 is about 1458.2723844946.

Adding to 3101101312 its reverse (2131011013), we get a palindrome (5232112325).

The spelling of 3101101312 in words is "three billion, one hundred one million, one hundred one thousand, three hundred twelve".