10201120011013 has 4 divisors (see below), whose sum is σ = 10201173915628. Its totient is φ = 10201066106400.

The previous prime is 10201120011011. The next prime is 10201120011067. The reversal of 10201120011013 is 31011002110201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1308420275044 + 8892699735969 = 1143862^2 + 2982063^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201120011013 - 2¹ = 10201120011011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201120010984 and 10201120011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201120011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26667438 + ... + 27047263.

It is an arithmetic number, because the mean of its divisors is an integer number (2550293478907).

Almost surely, 2^{10201120011013} is an apocalyptic number.

It is an amenable number.

10201120011013 is a deficient number, since it is larger than the sum of its proper divisors (53904615).

10201120011013 is an equidigital number, since it uses as much as digits as its factorization.

10201120011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53904614.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10201120011013 its reverse (31011002110201), we get a palindrome (41212122121214).

The spelling of 10201120011013 in words is "ten trillion, two hundred one billion, one hundred twenty million, eleven thousand, thirteen".