20131021413 has 24 divisors (see below), whose sum is σ = 29214595800. Its totient is φ = 13357854720.

The previous prime is 20131021387. The next prime is 20131021433. The reversal of 20131021413 is 31412013102.

20131021413 is a `hidden beast` number, since 201 + 31 + 0 + 21 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2543487489 + 17587533924 = 50433^2 + 132618^2 .

It is not a de Polignac number, because 20131021413 - 2⁶ = 20131021349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131021433) 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, 1695345 + ... + 1707177.

It is an arithmetic number, because the mean of its divisors is an integer number (1217274825).

Almost surely, 2^20131021413 is an apocalyptic number.

It is an amenable number.

20131021413 is a deficient number, since it is larger than the sum of its proper divisors (9083574387).

20131021413 is a wasteful number, since it uses less digits than its factorization.

20131021413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20131021413 its reverse (31412013102), we get a palindrome (51543034515).

The spelling of 20131021413 in words is "twenty billion, one hundred thirty-one million, twenty-one thousand, four hundred thirteen".