201012111010013 has 16 divisors (see below), whose sum is σ = 205644815334000. Its totient is φ = 196436830003200.

The previous prime is 201012111010001. The next prime is 201012111010069. The reversal of 201012111010013 is 310010111210102.

It can be written as a sum of positive squares in 8 ways, for example, as 52665021442489 + 148347089567524 = 7257067^2 + 12179782^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012111010013 - 2⁶ = 201012111009949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201012111010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012111000013) 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, 18681308 + ... + 27404661.

It is an arithmetic number, because the mean of its divisors is an integer number (12852800958375).

Almost surely, 2^{201012111010013} is an apocalyptic number.

It is an amenable number.

201012111010013 is a deficient number, since it is larger than the sum of its proper divisors (4632704323987).

201012111010013 is a wasteful number, since it uses less digits than its factorization.

201012111010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46086592.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 201012111010013 its reverse (310010111210102), we get a palindrome (511022222220115).

The spelling of 201012111010013 in words is "two hundred one trillion, twelve billion, one hundred eleven million, ten thousand, thirteen".