2013821613 has 24 divisors (see below), whose sum is σ = 2987912928. Its totient is φ = 1306543392.

The previous prime is 2013821591. The next prime is 2013821639. The reversal of 2013821613 is 3161283102.

It is a happy number.

2013821613 is a `hidden beast` number, since 20 + 1 + 3 + 8 + 21 + 613 = 666.

It is not a de Polignac number, because 2013821613 - 2¹⁷ = 2013690541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013821653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29931 + ... + 70167.

It is an arithmetic number, because the mean of its divisors is an integer number (124496372).

Almost surely, 2^2013821613 is an apocalyptic number.

It is an amenable number.

2013821613 is a deficient number, since it is larger than the sum of its proper divisors (974091315).

2013821613 is a wasteful number, since it uses less digits than its factorization.

2013821613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40393 (or 40390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2013821613 is about 44875.6238173911. The cubic root of 2013821613 is about 1262.8167464313.

The spelling of 2013821613 in words is "two billion, thirteen million, eight hundred twenty-one thousand, six hundred thirteen".