3213101312 has 144 divisors (see below), whose sum is σ = 6876768192. Its totient is φ = 1496309760.

The previous prime is 3213101293. The next prime is 3213101317. The reversal of 3213101312 is 2131013123.

It is a super-2 number, since 2×3213101312² = 20648040082352242688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3213101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38712023 + ... + 38712105.

Almost surely, 2^3213101312 is an apocalyptic number.

3213101312 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 3213101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438384096).

3213101312 is an abundant number, since it is smaller than the sum of its proper divisors (3663666880).

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

3213101312 is an equidigital number, since it uses as much as digits as its factorization.

3213101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3213101312 is about 56684.2245426362. The cubic root of 3213101312 is about 1475.6209297229.

Adding to 3213101312 its reverse (2131013123), we get a palindrome (5344114435).

It can be divided in two parts, 3 and 213101312, that multiplied together give a palindrome (639303936).

The spelling of 3213101312 in words is "three billion, two hundred thirteen million, one hundred one thousand, three hundred twelve".