101393 has 4 divisors (see below), whose sum is σ = 103908. Its totient is φ = 98880.

The previous prime is 101383. The next prime is 101399. The reversal of 101393 is 393101.

101393 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 393101 = 53 ⋅7417.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 66049 = 188^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 101393 - 2⁴ = 101377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101399) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1196 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (25977).

2¹⁰¹³⁹³ is an apocalyptic number.

It is an amenable number.

101393 is a deficient number, since it is larger than the sum of its proper divisors (2515).

101393 is an equidigital number, since it uses as much as digits as its factorization.

101393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 101393 is about 318.4226750720. The cubic root of 101393 is about 46.6304196993.

Adding to 101393 its reverse (393101), we get a palindrome (494494).

It can be divided in two parts, 101 and 393, that multiplied together give a palindrome (39693).

The spelling of 101393 in words is "one hundred one thousand, three hundred ninety-three".