101301331301 has 8 divisors (see below), whose sum is σ = 101412019800. Its totient is φ = 101190684672.

The previous prime is 101301331291. The next prime is 101301331321. The reversal of 101301331301 is 103133103101.

It can be written as a sum of positive squares in 4 ways, for example, as 65932887076 + 35368444225 = 256774^2 + 188065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101301331301 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 101301331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301331321) 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 7 ways as a sum of consecutive naturals, for example, 7756625 + ... + 7769673.

It is an arithmetic number, because the mean of its divisors is an integer number (12676502475).

Almost surely, 2^101301331301 is an apocalyptic number.

It is an amenable number.

101301331301 is a deficient number, since it is larger than the sum of its proper divisors (110688499).

101301331301 is a wasteful number, since it uses less digits than its factorization.

101301331301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20935.

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

Adding to 101301331301 its reverse (103133103101), we get a palindrome (204434434402).

It can be divided in two parts, 10130 and 1331301, that added together give a palindrome (1341431).

The spelling of 101301331301 in words is "one hundred one billion, three hundred one million, three hundred thirty-one thousand, three hundred one".