101313030101301 has 12 divisors (see below), whose sum is σ = 146690306118720. Its totient is φ = 67380821926440.

The previous prime is 101313030101203. The next prime is 101313030101321. The reversal of 101313030101301 is 103101030313101.

101313030101301 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 30 + 301 + 0 + 1 + 301 = 666.

It is not a de Polignac number, because 101313030101301 - 2¹⁸ = 101313029839157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313030101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13433174445 + ... + 13433181986.

It is an arithmetic number, because the mean of its divisors is an integer number (12224192176560).

Almost surely, 2^{101313030101301} is an apocalyptic number.

It is an amenable number.

101313030101301 is a deficient number, since it is larger than the sum of its proper divisors (45377276017419).

101313030101301 is a wasteful number, since it uses less digits than its factorization.

101313030101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26866356856 (or 26866356853 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101313030101301 its reverse (103101030313101), we get a palindrome (204414060414402).

The spelling of 101313030101301 in words is "one hundred one trillion, three hundred thirteen billion, thirty million, one hundred one thousand, three hundred one".