20213101102013 has 8 divisors (see below), whose sum is σ = 20265369312600. Its totient is φ = 20160882134848.

The previous prime is 20213101102003. The next prime is 20213101102063. The reversal of 20213101102013 is 31020110131202.

It can be written as a sum of positive squares in 4 ways, for example, as 9906548516089 + 10306552585924 = 3147467^2 + 3210382^2 .

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 20213101102013 - 2⁴ = 20213101101997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20213101101982 and 20213101102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213101102003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11488778 + ... + 13130811.

It is an arithmetic number, because the mean of its divisors is an integer number (2533171164075).

Almost surely, 2^{20213101102013} is an apocalyptic number.

It is an amenable number.

20213101102013 is a deficient number, since it is larger than the sum of its proper divisors (52268210587).

20213101102013 is a wasteful number, since it uses less digits than its factorization.

20213101102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24621711.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20213101102013 its reverse (31020110131202), we get a palindrome (51233211233215).

The spelling of 20213101102013 in words is "twenty trillion, two hundred thirteen billion, one hundred one million, one hundred two thousand, thirteen".