13002101134144 has 28 divisors (see below), whose sum is σ = 25803437229700. Its totient is φ = 6500447659008.

The previous prime is 13002101134133. The next prime is 13002101134201. The reversal of 13002101134144 is 44143110120031.

It can be written as a sum of positive squares in 2 ways, for example, as 9816190286400 + 3185910847744 = 3133080^2 + 1784912^2 .

It is a super-2 number, since 2×13002101134144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8724549 + ... + 10105540.

Almost surely, 2^{13002101134144} is an apocalyptic number.

It is an amenable number.

13002101134144 is a deficient number, since it is larger than the sum of its proper divisors (12801336095556).

13002101134144 is a wasteful number, since it uses less digits than its factorization.

13002101134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18840890 (or 18840880 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13002101134144 its reverse (44143110120031), we get a palindrome (57145211254175).

The spelling of 13002101134144 in words is "thirteen trillion, two billion, one hundred one million, one hundred thirty-four thousand, one hundred forty-four".