101311 has 8 divisors (see below), whose sum is σ = 118944. Its totient is φ = 84480.

The previous prime is 101293. The next prime is 101323. The reversal of 101311 is 113101.

It is a happy number.

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

It is a 9-Lehmer number, since φ(101311) divides (101311-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 101311 - 2⁵ = 101279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 101294 and 101303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (14868).

2¹⁰¹³¹¹ is an apocalyptic number.

101311 is a deficient number, since it is larger than the sum of its proper divisors (17633).

101311 is an equidigital number, since it uses as much as digits as its factorization.

101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101311 is about 318.2938893538. The cubic root of 101311 is about 46.6178457686.

Adding to 101311 its reverse (113101), we get a palindrome (214412).

It can be divided in two parts, 1013 and 11, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 101311 in words is "one hundred one thousand, three hundred eleven", and thus it is an iban number.