101311221321 has 12 divisors (see below), whose sum is σ = 146342587248. Its totient is φ = 67538895864.

The previous prime is 101311221313. The next prime is 101311221409. The reversal of 101311221321 is 123122113101.

101311221321 is a `hidden beast` number, since 10 + 1 + 311 + 2 + 21 + 321 = 666.

It is not a de Polignac number, because 101311221321 - 2³ = 101311221313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101311221294 and 101311221303.

It is not an unprimeable number, because it can be changed into a prime (101311221821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222826 + ... + 502268.

It is an arithmetic number, because the mean of its divisors is an integer number (12195215604).

Almost surely, 2^101311221321 is an apocalyptic number.

It is an amenable number.

101311221321 is a deficient number, since it is larger than the sum of its proper divisors (45031365927).

101311221321 is a wasteful number, since it uses less digits than its factorization.

101311221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319732 (or 319729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101311221321 its reverse (123122113101), we get a palindrome (224433334422).

The spelling of 101311221321 in words is "one hundred one billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty-one".