101310001001 has 4 divisors (see below), whose sum is σ = 110520001104. Its totient is φ = 92100000900.

The previous prime is 101310000997. The next prime is 101310001003. The reversal of 101310001001 is 100100013101.

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 101310001001 - 2² = 101310000997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101310001001.

It is not an unprimeable number, because it can be changed into a prime (101310001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4605000035 + ... + 4605000056.

It is an arithmetic number, because the mean of its divisors is an integer number (27630000276).

Almost surely, 2^101310001001 is an apocalyptic number.

101310001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101310001001 is a deficient number, since it is larger than the sum of its proper divisors (9210000103).

101310001001 is an equidigital number, since it uses as much as digits as its factorization.

101310001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210000102.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101310001001 its reverse (100100013101), we get a palindrome (201410014102).

The spelling of 101310001001 in words is "one hundred one billion, three hundred ten million, one thousand, one".