20013013101213 has 24 divisors (see below), whose sum is σ = 31582515444480. Its totient is φ = 12111076373760.

The previous prime is 20013013101187. The next prime is 20013013101241. The reversal of 20013013101213 is 31210131031002.

20013013101213 is a `hidden beast` number, since 200 + 1 + 30 + 1 + 310 + 121 + 3 = 666.

It is not a de Polignac number, because 20013013101213 - 2⁹ = 20013013100701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013015101213) 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, 150120333 + ... + 150253586.

It is an arithmetic number, because the mean of its divisors is an integer number (1315938143520).

Almost surely, 2^{20013013101213} is an apocalyptic number.

It is an amenable number.

20013013101213 is a deficient number, since it is larger than the sum of its proper divisors (11569502343267).

20013013101213 is a wasteful number, since it uses less digits than its factorization.

20013013101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300374609 (or 300374606 counting only the distinct ones).

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

Adding to 20013013101213 its reverse (31210131031002), we get a palindrome (51223144132215).

The spelling of 20013013101213 in words is "twenty trillion, thirteen billion, thirteen million, one hundred one thousand, two hundred thirteen".