2013414010144 has 48 divisors (see below), whose sum is σ = 4060799572536. Its totient is φ = 982102374400.

The previous prime is 2013414010129. The next prime is 2013414010163. The reversal of 2013414010144 is 4410104143102.

It can be written as a sum of positive squares in 4 ways, for example, as 522133417744 + 1491280592400 = 722588^2 + 1221180^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43688874 + ... + 43734934.

Almost surely, 2^{2013414010144} is an apocalyptic number.

It is an amenable number.

2013414010144 is an abundant number, since it is smaller than the sum of its proper divisors (2047385562392).

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

2013414010144 is a wasteful number, since it uses less digits than its factorization.

2013414010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79429 (or 79421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2013414010144 its reverse (4410104143102), we get a palindrome (6423518153246).

The spelling of 2013414010144 in words is "two trillion, thirteen billion, four hundred fourteen million, ten thousand, one hundred forty-four".