12153144000213 has 12 divisors (see below), whose sum is σ = 17557063266028. Its totient is φ = 8100932031360.

The previous prime is 12153144000203. The next prime is 12153144000229. The reversal of 12153144000213 is 31200044135121.

12153144000213 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 3 + 1 + 440 + 0 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9727456118769 + 2425687881444 = 3118887^2 + 1557462^2 .

It is not a de Polignac number, because 12153144000213 - 2¹⁰ = 12153143999189 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 (12153144000203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96931270 + ... + 97056567.

Almost surely, 2^{12153144000213} is an apocalyptic number.

It is an amenable number.

12153144000213 is a deficient number, since it is larger than the sum of its proper divisors (5403919265815).

12153144000213 is a wasteful number, since it uses less digits than its factorization.

12153144000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193994804 (or 193994801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12153144000213 its reverse (31200044135121), we get a palindrome (43353188135334).

The spelling of 12153144000213 in words is "twelve trillion, one hundred fifty-three billion, one hundred forty-four million, two hundred thirteen", and thus it is an aban number.