10201110311313 has 20 divisors (see below), whose sum is σ = 15317652645988. Its totient is φ = 6765503201280.

The previous prime is 10201110311311. The next prime is 10201110311321. The reversal of 10201110311313 is 31311301110201.

10201110311313 is a `hidden beast` number, since 1 + 0 + 20 + 11 + 10 + 311 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2525706027009 + 7675404284304 = 1589247^2 + 2770452^2 .

It is not a de Polignac number, because 10201110311313 - 2¹ = 10201110311311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201110311311) 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 19 ways as a sum of consecutive naturals, for example, 326252848 + ... + 326284113.

Almost surely, 2^{10201110311313} is an apocalyptic number.

It is an amenable number.

10201110311313 is a deficient number, since it is larger than the sum of its proper divisors (5116542334675).

10201110311313 is an equidigital number, since it uses as much as digits as its factorization.

10201110311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652537166 (or 652537157 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10201110311313 its reverse (31311301110201), we get a palindrome (41512411421514).

The spelling of 10201110311313 in words is "ten trillion, two hundred one billion, one hundred ten million, three hundred eleven thousand, three hundred thirteen".