201331011013 has 12 divisors (see below), whose sum is σ = 225473158764. Its totient is φ = 179574824000.

The previous prime is 201331010891. The next prime is 201331011023. The reversal of 201331011013 is 310110133102.

201331011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53630685889 + 147700325124 = 231583^2 + 384318^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201331011013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15690688 + ... + 15703513.

It is an arithmetic number, because the mean of its divisors is an integer number (18789429897).

Almost surely, 2^201331011013 is an apocalyptic number.

It is an amenable number.

201331011013 is a deficient number, since it is larger than the sum of its proper divisors (24142147751).

201331011013 is a wasteful number, since it uses less digits than its factorization.

201331011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31394276 (or 31394265 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 201331011013 its reverse (310110133102), we get a palindrome (511441144115).

The spelling of 201331011013 in words is "two hundred one billion, three hundred thirty-one million, eleven thousand, thirteen".