10001201120013 has 16 divisors (see below), whose sum is σ = 13347714965760. Its totient is φ = 6661078401024.

The previous prime is 10001201119997. The next prime is 10001201120081. The reversal of 10001201120013 is 31002110210001.

It is not a de Polignac number, because 10001201120013 - 2⁴ = 10001201119997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201620013) 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, 39614620 + ... + 39866282.

It is an arithmetic number, because the mean of its divisors is an integer number (834232185360).

Almost surely, 2^{10001201120013} is an apocalyptic number.

It is an amenable number.

10001201120013 is a deficient number, since it is larger than the sum of its proper divisors (3346513845747).

10001201120013 is a wasteful number, since it uses less digits than its factorization.

10001201120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264308.

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

Adding to 10001201120013 its reverse (31002110210001), we get a palindrome (41003311330014).

The spelling of 10001201120013 in words is "ten trillion, one billion, two hundred one million, one hundred twenty thousand, thirteen".