101222313 has 16 divisors (see below), whose sum is σ = 137403840. Its totient is φ = 66272256.

The previous prime is 101222309. The next prime is 101222339. The reversal of 101222313 is 313222101.

It is not a de Polignac number, because 101222313 - 2² = 101222309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222292 and 101222301.

It is not an unprimeable number, because it can be changed into a prime (101222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38598 + ... + 41136.

It is an arithmetic number, because the mean of its divisors is an integer number (8587740).

Almost surely, 2^101222313 is an apocalyptic number.

It is an amenable number.

101222313 is a deficient number, since it is larger than the sum of its proper divisors (36181527).

101222313 is a wasteful number, since it uses less digits than its factorization.

101222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101222313 is about 10060.9300265930. The cubic root of 101222313 is about 466.0423880959.

Adding to 101222313 its reverse (313222101), we get a palindrome (414444414).

The spelling of 101222313 in words is "one hundred one million, two hundred twenty-two thousand, three hundred thirteen".