20131213 has 8 divisors (see below), whose sum is σ = 21677760. Its totient is φ = 18624960.

The previous prime is 20131211. The next prime is 20131217. The reversal of 20131213 is 31213102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20131213 - 2¹ = 20131211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20131193 and 20131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9033 + ... + 11038.

It is an arithmetic number, because the mean of its divisors is an integer number (2709720).

Almost surely, 2^20131213 is an apocalyptic number.

It is an amenable number.

20131213 is a deficient number, since it is larger than the sum of its proper divisors (1546547).

20131213 is a wasteful number, since it uses less digits than its factorization.

20131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20147.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 20131213 is about 4486.7820317016. The cubic root of 20131213 is about 272.0340796760.

Adding to 20131213 its reverse (31213102), we get a palindrome (51344315).

The spelling of 20131213 in words is "twenty million, one hundred thirty-one thousand, two hundred thirteen".