3111321312 has 144 divisors (see below), whose sum is σ = 9681720048. Its totient is φ = 939939840.

The previous prime is 3111321263. The next prime is 3111321319. The reversal of 3111321312 is 2131231113.

3111321312 is a `hidden beast` number, since 31 + 1 + 1 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111321319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1180348 + ... + 1182980.

It is an arithmetic number, because the mean of its divisors is an integer number (67234167).

Almost surely, 2^3111321312 is an apocalyptic number.

3111321312 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 3111321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840860024).

3111321312 is an abundant number, since it is smaller than the sum of its proper divisors (6570398736).

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

3111321312 is a wasteful number, since it uses less digits than its factorization.

3111321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3022 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3111321312 is about 55779.2193563158. The cubic root of 3111321312 is about 1459.8725903704.

Adding to 3111321312 its reverse (2131231113), we get a palindrome (5242552425).

It can be divided in two parts, 31113 and 21312, that added together give a palindrome (52425).

The spelling of 3111321312 in words is "three billion, one hundred eleven million, three hundred twenty-one thousand, three hundred twelve".