101222134106313 has 16 divisors (see below), whose sum is σ = 147243440799936. Its totient is φ = 61342062219840.

The previous prime is 101222134106309. The next prime is 101222134106323. The reversal of 101222134106313 is 313601431222101.

It is not a de Polignac number, because 101222134106313 - 2² = 101222134106309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222134106323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116704470 + ... + 117568607.

It is an arithmetic number, because the mean of its divisors is an integer number (9202715049996).

Almost surely, 2^{101222134106313} is an apocalyptic number.

It is an amenable number.

101222134106313 is a deficient number, since it is larger than the sum of its proper divisors (46021306693623).

101222134106313 is a wasteful number, since it uses less digits than its factorization.

101222134106313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234286184.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 101222134106313 its reverse (313601431222101), we get a palindrome (414823565328414).

The spelling of 101222134106313 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred thirty-four million, one hundred six thousand, three hundred thirteen".