20132013 has 32 divisors (see below), whose sum is σ = 30390912. Its totient is φ = 11750400.

The previous prime is 20132011. The next prime is 20132053. The reversal of 20132013 is 31023102.

It is a happy number.

It is not a de Polignac number, because 20132013 - 2¹ = 20132011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146881 + ... + 147017.

It is an arithmetic number, because the mean of its divisors is an integer number (949716).

Almost surely, 2^20132013 is an apocalyptic number.

It is an amenable number.

20132013 is a deficient number, since it is larger than the sum of its proper divisors (10258899).

20132013 is a wasteful number, since it uses less digits than its factorization.

20132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20132013 is about 4486.8711815696. The cubic root of 20132013 is about 272.0376831081.

Adding to 20132013 its reverse (31023102), we get a palindrome (51155115).

The spelling of 20132013 in words is "twenty million, one hundred thirty-two thousand, thirteen".