2513360100144 has 80 divisors (see below), whose sum is σ = 6500700607104. Its totient is φ = 836773862400.

The previous prime is 2513360100133. The next prime is 2513360100151. The reversal of 2513360100144 is 4410010633152.

It is a super-3 number, since 3×2513360100144³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209948079 + ... + 209960049.

Almost surely, 2^{2513360100144} is an apocalyptic number.

2513360100144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2513360100144 is an abundant number, since it is smaller than the sum of its proper divisors (3987340506960).

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

2513360100144 is a wasteful number, since it uses less digits than its factorization.

2513360100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 2513360100144 its reverse (4410010633152), we get a palindrome (6923370733296).

The spelling of 2513360100144 in words is "two trillion, five hundred thirteen billion, three hundred sixty million, one hundred thousand, one hundred forty-four".