101313030013221 has 32 divisors (see below), whose sum is σ = 150462892016640. Its totient is φ = 60216765926400.

The previous prime is 101313030013187. The next prime is 101313030013271. The reversal of 101313030013221 is 122310030313101.

It is a happy number.

It is not a de Polignac number, because 101313030013221 - 2¹¹ = 101313030011173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313030013271) 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 31 ways as a sum of consecutive naturals, for example, 81701940 + ... + 82932701.

It is an arithmetic number, because the mean of its divisors is an integer number (4701965375520).

Almost surely, 2^{101313030013221} is an apocalyptic number.

It is an amenable number.

101313030013221 is a deficient number, since it is larger than the sum of its proper divisors (49149862003419).

101313030013221 is a wasteful number, since it uses less digits than its factorization.

101313030013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164635197.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101313030013221 its reverse (122310030313101), we get a palindrome (223623060326322).

The spelling of 101313030013221 in words is "one hundred one trillion, three hundred thirteen billion, thirty million, thirteen thousand, two hundred twenty-one".