101013311323221 has 8 divisors (see below), whose sum is σ = 146928452833824. Its totient is φ = 61220188680720.

The previous prime is 101013311323219. The next prime is 101013311323231. The reversal of 101013311323221 is 122323113310101.

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

It is not a de Polignac number, because 101013311323221 - 2¹ = 101013311323219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013311323191 and 101013311323200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013311323231) 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 7 ways as a sum of consecutive naturals, for example, 1530504716986 + ... + 1530504717051.

It is an arithmetic number, because the mean of its divisors is an integer number (18366056604228).

Almost surely, 2^{101013311323221} is an apocalyptic number.

101013311323221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101013311323221 is a deficient number, since it is larger than the sum of its proper divisors (45915141510603).

101013311323221 is a wasteful number, since it uses less digits than its factorization.

101013311323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061009434051.

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

Adding to 101013311323221 its reverse (122323113310101), we get a palindrome (223336424633322).

The spelling of 101013311323221 in words is "one hundred one trillion, thirteen billion, three hundred eleven million, three hundred twenty-three thousand, two hundred twenty-one".