101124313 has 8 divisors (see below), whose sum is σ = 107458920. Its totient is φ = 94832640.

The previous prime is 101124311. The next prime is 101124319. The reversal of 101124313 is 313421101.

It can be written as a sum of positive squares in 4 ways, for example, as 65983129 + 35141184 = 8123^2 + 5928^2 .

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 101124313 - 2¹ = 101124311 is a prime.

It is a super-2 number, since 2×101124313² = 20452253359443938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101124311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5808 + ... + 15361.

It is an arithmetic number, because the mean of its divisors is an integer number (13432365).

Almost surely, 2^101124313 is an apocalyptic number.

It is an amenable number.

101124313 is a deficient number, since it is larger than the sum of its proper divisors (6334607).

101124313 is a wasteful number, since it uses less digits than its factorization.

101124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21467.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101124313 is about 10056.0585221050. The cubic root of 101124313 is about 465.8919374030.

Adding to 101124313 its reverse (313421101), we get a palindrome (414545414).

The spelling of 101124313 in words is "one hundred one million, one hundred twenty-four thousand, three hundred thirteen".