13123102102002 has 24 divisors (see below), whose sum is σ = 29413849540140. Its totient is φ = 4223527113120.

The previous prime is 13123102101983. The next prime is 13123102102003. The reversal of 13123102102002 is 20020120132131.

13123102102002 is a `hidden beast` number, since 1 + 312 + 310 + 21 + 0 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11623728790881 + 1499373311121 = 3409359^2 + 1224489^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13123102102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12570020649 + ... + 12570021692.

Almost surely, 2^{13123102102002} is an apocalyptic number.

13123102102002 is an abundant number, since it is smaller than the sum of its proper divisors (16290747438138).

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

13123102102002 is a wasteful number, since it uses less digits than its factorization.

13123102102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25140042378 (or 25140042375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13123102102002 its reverse (20020120132131), we get a palindrome (33143222234133).

The spelling of 13123102102002 in words is "thirteen trillion, one hundred twenty-three billion, one hundred two million, one hundred two thousand, two".