101320123101313 has 16 divisors (see below), whose sum is σ = 101787697170432. Its totient is φ = 100853877600000.

The previous prime is 101320123101283. The next prime is 101320123101331. The reversal of 101320123101313 is 313101321023101.

It is a cyclic number.

It is not a de Polignac number, because 101320123101313 - 2³³ = 101311533166721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101320123111313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349221478 + ... + 349511488.

It is an arithmetic number, because the mean of its divisors is an integer number (6361731073152).

Almost surely, 2^{101320123101313} is an apocalyptic number.

It is an amenable number.

101320123101313 is a deficient number, since it is larger than the sum of its proper divisors (467574069119).

101320123101313 is a wasteful number, since it uses less digits than its factorization.

101320123101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292296.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101320123101313 its reverse (313101321023101), we get a palindrome (414421444124414).

The spelling of 101320123101313 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-three million, one hundred one thousand, three hundred thirteen".