101320313310993 has 16 divisors (see below), whose sum is σ = 154495037684736. Its totient is φ = 57859004652240.

The previous prime is 101320313310973. The next prime is 101320313311013. The reversal of 101320313310993 is 399013313023101.

It is an interprime number because it is at equal distance from previous prime (101320313310973) and next prime (101320313311013).

It is not a de Polignac number, because 101320313310993 - 2⁶ = 101320313310929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101320313310913) 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, 1596519171 + ... + 1596582632.

It is an arithmetic number, because the mean of its divisors is an integer number (9655939855296).

Almost surely, 2^{101320313310993} is an apocalyptic number.

It is an amenable number.

101320313310993 is a deficient number, since it is larger than the sum of its proper divisors (53174724373743).

101320313310993 is a wasteful number, since it uses less digits than its factorization.

101320313310993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193103324.

The product of its (nonzero) digits is 39366, while the sum is 39.

The spelling of 101320313310993 in words is "one hundred one trillion, three hundred twenty billion, three hundred thirteen million, three hundred ten thousand, nine hundred ninety-three".