2013414043123 has 16 divisors (see below), whose sum is σ = 2318620262400. Its totient is φ = 1712623059936.

The previous prime is 2013414043117. The next prime is 2013414043129. The reversal of 2013414043123 is 3213404143102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013414043117) and next prime (2013414043129).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013414043123 is a prime.

It is a super-2 number, since 2×2013414043123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013414043091 and 2013414043100.

It is not an unprimeable number, because it can be changed into a prime (2013414043129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245790 + ... + 2021692.

It is an arithmetic number, because the mean of its divisors is an integer number (144913766400).

Almost surely, 2^{2013414043123} is an apocalyptic number.

2013414043123 is a deficient number, since it is larger than the sum of its proper divisors (305206219277).

2013414043123 is a wasteful number, since it uses less digits than its factorization.

2013414043123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777146.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2013414043123 its reverse (3213404143102), we get a palindrome (5226818186225).

The spelling of 2013414043123 in words is "two trillion, thirteen billion, four hundred fourteen million, forty-three thousand, one hundred twenty-three".