20013131021013 has 24 divisors (see below), whose sum is σ = 31570009511040. Its totient is φ = 12142311340320.

The previous prime is 20013131021003. The next prime is 20013131021071. The reversal of 20013131021013 is 31012013131002.

20013131021013 is a `hidden beast` number, since 2 + 0 + 0 + 131 + 310 + 210 + 13 = 666.

It is not a de Polignac number, because 20013131021013 - 2²¹ = 20013128923861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013131021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204586073 + ... + 1204602686.

It is an arithmetic number, because the mean of its divisors is an integer number (1315417062960).

Almost surely, 2^{20013131021013} is an apocalyptic number.

It is an amenable number.

20013131021013 is a deficient number, since it is larger than the sum of its proper divisors (11556878490027).

20013131021013 is a wasteful number, since it uses less digits than its factorization.

20013131021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409188849 (or 2409188846 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20013131021013 its reverse (31012013131002), we get a palindrome (51025144152015).

The spelling of 20013131021013 in words is "twenty trillion, thirteen billion, one hundred thirty-one million, twenty-one thousand, thirteen".