2013420101 has 48 divisors (see below), whose sum is σ = 2676924288. Its totient is φ = 1470873600.

The previous prime is 2013420061. The next prime is 2013420119. The reversal of 2013420101 is 1010243102.

It is not a de Polignac number, because 2013420101 - 2⁶ = 2013420037 is a prime.

It is a super-2 number, since 2×2013420101² = 8107721006221700402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013420121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3140741 + ... + 3141381.

It is an arithmetic number, because the mean of its divisors is an integer number (55769256).

Almost surely, 2^2013420101 is an apocalyptic number.

It is an amenable number.

2013420101 is a deficient number, since it is larger than the sum of its proper divisors (663504187).

2013420101 is a wasteful number, since it uses less digits than its factorization.

2013420101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2013420101 is about 44871.1499852634. The cubic root of 2013420101 is about 1262.7328148366.

Adding to 2013420101 its reverse (1010243102), we get a palindrome (3023663203).

The spelling of 2013420101 in words is "two billion, thirteen million, four hundred twenty thousand, one hundred one".