101221103313 has 24 divisors (see below), whose sum is σ = 161144264736. Its totient is φ = 60713683200.

The previous prime is 101221103293. The next prime is 101221103363. The reversal of 101221103313 is 313301122101.

101221103313 is a `hidden beast` number, since 101 + 221 + 10 + 331 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101221103313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221103363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5260683 + ... + 5279888.

It is an arithmetic number, because the mean of its divisors is an integer number (6714344364).

Almost surely, 2^101221103313 is an apocalyptic number.

It is an amenable number.

101221103313 is a deficient number, since it is larger than the sum of its proper divisors (59923161423).

101221103313 is a wasteful number, since it uses less digits than its factorization.

101221103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540685 (or 10540682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101221103313 its reverse (313301122101), we get a palindrome (414522225414).

The spelling of 101221103313 in words is "one hundred one billion, two hundred twenty-one million, one hundred three thousand, three hundred thirteen".