3213000110112 has 96 divisors (see below), whose sum is σ = 9083275729920. Its totient is φ = 988574976000.

The previous prime is 3213000110101. The next prime is 3213000110123. The reversal of 3213000110112 is 2110110003123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3213000110101) and next prime (3213000110123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3213000110091 and 3213000110100.

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 15 ways as a sum of consecutive naturals, for example, 48100737 + ... + 48167487.

It is an arithmetic number, because the mean of its divisors is an integer number (94617455520).

Almost surely, 2^{3213000110112} is an apocalyptic number.

3213000110112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3213000110112 is an abundant number, since it is smaller than the sum of its proper divisors (5870275619808).

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

3213000110112 is a wasteful number, since it uses less digits than its factorization.

3213000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105346 (or 105338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3213000110112 its reverse (2110110003123), we get a palindrome (5323110113235).

The spelling of 3213000110112 in words is "three trillion, two hundred thirteen billion, one hundred ten thousand, one hundred twelve".