101330002013301 has 6 divisors (see below), whose sum is σ = 146365558463670. Its totient is φ = 67553334675528.

The previous prime is 101330002013263. The next prime is 101330002013309. The reversal of 101330002013301 is 103310200033101.

It is a happy number.

101330002013301 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 0 + 0 + 2 + 0 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94203504810801 + 7126497202500 = 9705849^2 + 2669550^2 .

It is not a de Polignac number, because 101330002013301 - 2⁷ = 101330002013173 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330002013309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5629444556286 + ... + 5629444556303.

It is an arithmetic number, because the mean of its divisors is an integer number (24394259743945).

Almost surely, 2^{101330002013301} is an apocalyptic number.

It is an amenable number.

101330002013301 is a deficient number, since it is larger than the sum of its proper divisors (45035556450369).

101330002013301 is a wasteful number, since it uses less digits than its factorization.

101330002013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11258889112595 (or 11258889112592 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101330002013301 its reverse (103310200033101), we get a palindrome (204640202046402).

The spelling of 101330002013301 in words is "one hundred one trillion, three hundred thirty billion, two million, thirteen thousand, three hundred one".