101413 has 8 divisors (see below), whose sum is σ = 113400. Its totient is φ = 90048.

The previous prime is 101411. The next prime is 101419. The reversal of 101413 is 314101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 101124 = 17^2 + 318^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101413 - 2¹ = 101411 is a prime.

It is a Duffinian number.

101413 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 101413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2¹⁰¹⁴¹³ is an apocalyptic number.

101413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101413 is a deficient number, since it is larger than the sum of its proper divisors (11987).

101413 is a wasteful number, since it uses less digits than its factorization.

101413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101413 is about 318.4540783221. The cubic root of 101413 is about 46.6334854832.

Adding to 101413 its reverse (314101), we get a palindrome (415514).

The spelling of 101413 in words is "one hundred one thousand, four hundred thirteen".