101303113301 has 24 divisors (see below), whose sum is σ = 114242097816. Its totient is φ = 89290460160.

The previous prime is 101303113279. The next prime is 101303113319. The reversal of 101303113301 is 103311303101.

It can be written as a sum of positive squares in 4 ways, for example, as 4774225 + 101298339076 = 2185^2 + 318274^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101303113301 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 101303113301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303133301) 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 23 ways as a sum of consecutive naturals, for example, 4065641 + ... + 4090481.

It is an arithmetic number, because the mean of its divisors is an integer number (4760087409).

Almost surely, 2^101303113301 is an apocalyptic number.

It is an amenable number.

101303113301 is a deficient number, since it is larger than the sum of its proper divisors (12938984515).

101303113301 is a wasteful number, since it uses less digits than its factorization.

101303113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25493 (or 25470 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101303113301 its reverse (103311303101), we get a palindrome (204614416402).

The spelling of 101303113301 in words is "one hundred one billion, three hundred three million, one hundred thirteen thousand, three hundred one".