101313101 has 4 divisors (see below), whose sum is σ = 101491104. Its totient is φ = 101135100.

The previous prime is 101313097. The next prime is 101313103.

It is a happy number.

101313101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101313101 - 2² = 101313097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88145 + ... + 89286.

It is an arithmetic number, because the mean of its divisors is an integer number (25372776).

Almost surely, 2^101313101 is an apocalyptic number.

It is an amenable number.

101313101 is a deficient number, since it is larger than the sum of its proper divisors (178003).

101313101 is an equidigital number, since it uses as much as digits as its factorization.

101313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178002.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 101313101 is about 10065.4409242715. The cubic root of 101313101 is about 466.1816802195.

Multiplying 101313101 by its sum of digits (11), we get a palindrome (1114444111).

The spelling of 101313101 in words is "one hundred one million, three hundred thirteen thousand, one hundred one".