2013100141 has 16 divisors (see below), whose sum is σ = 2295296640. Its totient is φ = 1750230720.

The previous prime is 2013100129. The next prime is 2013100153. The reversal of 2013100141 is 1410013102.

It is an interprime number because it is at equal distance from previous prime (2013100129) and next prime (2013100153).

It is a cyclic number.

It is not a de Polignac number, because 2013100141 - 2¹⁵ = 2013067373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100121) 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, 19176 + ... + 66286.

It is an arithmetic number, because the mean of its divisors is an integer number (143456040).

Almost surely, 2^2013100141 is an apocalyptic number.

It is an amenable number.

2013100141 is a deficient number, since it is larger than the sum of its proper divisors (282196499).

2013100141 is a wasteful number, since it uses less digits than its factorization.

2013100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47316.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2013100141 is about 44867.5845237962. The cubic root of 2013100141 is about 1262.6659227865.

Adding to 2013100141 its reverse (1410013102), we get a palindrome (3423113243).

The spelling of 2013100141 in words is "two billion, thirteen million, one hundred thousand, one hundred forty-one".