101313001001 has 8 divisors (see below), whose sum is σ = 106308521280. Its totient is φ = 96366698032.

The previous prime is 101313000979. The next prime is 101313001037. The reversal of 101313001001 is 100100313101.

It is a happy number.

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 101313001001 - 2⁶ = 101313000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101313001091) 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, 12300110 + ... + 12308343.

It is an arithmetic number, because the mean of its divisors is an integer number (13288565160).

Almost surely, 2^101313001001 is an apocalyptic number.

It is an amenable number.

101313001001 is a deficient number, since it is larger than the sum of its proper divisors (4995520279).

101313001001 is a wasteful number, since it uses less digits than its factorization.

101313001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24608655.

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

Adding to 101313001001 its reverse (100100313101), we get a palindrome (201413314102).

The spelling of 101313001001 in words is "one hundred one billion, three hundred thirteen million, one thousand, one".