2013410414301 has 128 divisors (see below), whose sum is σ = 3272973225984. Its totient is φ = 1084695736320.

The previous prime is 2013410414299. The next prime is 2013410414303. The reversal of 2013410414301 is 1034140143102.

It is an interprime number because it is at equal distance from previous prime (2013410414299) and next prime (2013410414303).

It is not a de Polignac number, because 2013410414301 - 2¹ = 2013410414299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013410414303) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 410646216 + ... + 410651118.

It is an arithmetic number, because the mean of its divisors is an integer number (25570103328).

Almost surely, 2^{2013410414301} is an apocalyptic number.

It is an amenable number.

2013410414301 is a deficient number, since it is larger than the sum of its proper divisors (1259562811683).

2013410414301 is a wasteful number, since it uses less digits than its factorization.

2013410414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2013410414301 its reverse (1034140143102), we get a palindrome (3047550557403).

The spelling of 2013410414301 in words is "two trillion, thirteen billion, four hundred ten million, four hundred fourteen thousand, three hundred one".