2013102141311 has 16 divisors (see below), whose sum is σ = 2110236323328. Its totient is φ = 1916786652000.

The previous prime is 2013102141229. The next prime is 2013102141313. The reversal of 2013102141311 is 1131412013102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013102141311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013102141313) 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, 4721261 + ... + 5129961.

It is an arithmetic number, because the mean of its divisors is an integer number (131889770208).

Almost surely, 2^{2013102141311} is an apocalyptic number.

2013102141311 is a deficient number, since it is larger than the sum of its proper divisors (97134182017).

2013102141311 is a wasteful number, since it uses less digits than its factorization.

2013102141311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409702.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2013102141311 its reverse (1131412013102), we get a palindrome (3144514154413).

The spelling of 2013102141311 in words is "two trillion, thirteen billion, one hundred two million, one hundred forty-one thousand, three hundred eleven".