101013313231221 has 4 divisors (see below), whose sum is σ = 134684417641632. Its totient is φ = 67342208820812.

The previous prime is 101013313231217. The next prime is 101013313231247. The reversal of 101013313231221 is 122132313310101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101013313231221 - 2² = 101013313231217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013313231191 and 101013313231200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013313231261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16835552205201 + ... + 16835552205206.

It is an arithmetic number, because the mean of its divisors is an integer number (33671104410408).

Almost surely, 2^{101013313231221} is an apocalyptic number.

It is an amenable number.

101013313231221 is a deficient number, since it is larger than the sum of its proper divisors (33671104410411).

101013313231221 is an equidigital number, since it uses as much as digits as its factorization.

101013313231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33671104410410.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101013313231221 its reverse (122132313310101), we get a palindrome (223145626541322).

The spelling of 101013313231221 in words is "one hundred one trillion, thirteen billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred twenty-one".