2014014141301 has 12 divisors (see below), whose sum is σ = 2165699437452. Its totient is φ = 1872013126464.

The previous prime is 2014014141283. The next prime is 2014014141329. The reversal of 2014014141301 is 1031414104102.

It can be written as a sum of positive squares in 2 ways, for example, as 1529216658225 + 484797483076 = 1236615^2 + 696274^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2014014141301 is a prime.

It is a super-2 number, since 2×2014014141301² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014014141101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52612816 + ... + 52651081.

It is an arithmetic number, because the mean of its divisors is an integer number (180474953121).

Almost surely, 2^{2014014141301} is an apocalyptic number.

It is an amenable number.

2014014141301 is a deficient number, since it is larger than the sum of its proper divisors (151685296151).

2014014141301 is a wasteful number, since it uses less digits than its factorization.

2014014141301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105263988 (or 105263969 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2014014141301 its reverse (1031414104102), we get a palindrome (3045428245403).

The spelling of 2014014141301 in words is "two trillion, fourteen billion, fourteen million, one hundred forty-one thousand, three hundred one".