3213505213101 has 12 divisors (see below), whose sum is σ = 4641748044700. Its totient is φ = 2142328366080.

The previous prime is 3213505213033. The next prime is 3213505213129. The reversal of 3213505213101 is 1013125053123.

3213505213101 is a `hidden beast` number, since 3 + 2 + 1 + 35 + 0 + 521 + 3 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 560274705225 + 2653230507876 = 748515^2 + 1628874^2 .

It is not a de Polignac number, because 3213505213101 - 2¹⁴ = 3213505196717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213505213181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2451975 + ... + 3526923.

Almost surely, 2^{3213505213101} is an apocalyptic number.

It is an amenable number.

3213505213101 is a deficient number, since it is larger than the sum of its proper divisors (1428242831599).

3213505213101 is a wasteful number, since it uses less digits than its factorization.

3213505213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407116 (or 1407113 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 3213505213101 in words is "three trillion, two hundred thirteen billion, five hundred five million, two hundred thirteen thousand, one hundred one".