10201111313 has 16 divisors (see below), whose sum is σ = 10641141840. Its totient is φ = 9770803200.

The previous prime is 10201111303. The next prime is 10201111373. The reversal of 10201111313 is 31311110201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 945132049 + 9255979264 = 30743^2 + 96208^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201111313 - 2²⁰ = 10200062737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201111303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439543 + ... + 1446611.

It is an arithmetic number, because the mean of its divisors is an integer number (665071365).

Almost surely, 2^10201111313 is an apocalyptic number.

It is an amenable number.

10201111313 is a deficient number, since it is larger than the sum of its proper divisors (440030527).

10201111313 is an equidigital number, since it uses as much as digits as its factorization.

10201111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10201111313 its reverse (31311110201), we get a palindrome (41512221514).

The spelling of 10201111313 in words is "ten billion, two hundred one million, one hundred eleven thousand, three hundred thirteen".