20121220011013 has 16 divisors (see below), whose sum is σ = 23202383846400. Its totient is φ = 17256772900080.

The previous prime is 20121220011001. The next prime is 20121220011043. The reversal of 20121220011013 is 31011002212102.

It is a cyclic number.

It is not a de Polignac number, because 20121220011013 - 2¹⁷ = 20121219879941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121220011043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201359631 + ... + 201459532.

It is an arithmetic number, because the mean of its divisors is an integer number (1450148990400).

Almost surely, 2^{20121220011013} is an apocalyptic number.

It is an amenable number.

20121220011013 is a deficient number, since it is larger than the sum of its proper divisors (3081163835387).

20121220011013 is a wasteful number, since it uses less digits than its factorization.

20121220011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402819432.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20121220011013 its reverse (31011002212102), we get a palindrome (51132222223115).

Subtracting 20121220011013 from its reverse (31011002212102), we obtain a square (10889782201089 = 3299967²).

The spelling of 20121220011013 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty million, eleven thousand, thirteen".