2013113862144 has 768 divisors, whose sum is σ = 7458838732800. Its totient is φ = 521197977600.

The previous prime is 2013113862029. The next prime is 2013113862163. The reversal of 2013113862144 is 4412683113102.

2013113862144 is a `hidden beast` number, since 2 + 0 + 13 + 1 + 13 + 8 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2013113862099 and 2013113862108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835107804 + ... + 1835108900.

It is an arithmetic number, because the mean of its divisors is an integer number (9712029600).

Almost surely, 2^{2013113862144} is an apocalyptic number.

2013113862144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013113862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729419366400).

2013113862144 is an abundant number, since it is smaller than the sum of its proper divisors (5445724870656).

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

2013113862144 is a wasteful number, since it uses less digits than its factorization.

2013113862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

2013113862144 divided by its product of nonzero digits (27648) gives a triangular number (72812278 = T₁₂₀₆₇).

Adding to 2013113862144 its reverse (4412683113102), we get a palindrome (6425796975246).

The spelling of 2013113862144 in words is "two trillion, thirteen billion, one hundred thirteen million, eight hundred sixty-two thousand, one hundred forty-four".