100320013001 has 8 divisors (see below), whose sum is σ = 108130653960. Its totient is φ = 92522760192.

The previous prime is 100320012943. The next prime is 100320013019. The reversal of 100320013001 is 100310023001.

It can be written as a sum of positive squares in 4 ways, for example, as 4247910976 + 96072102025 = 65176^2 + 309955^2 .

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 100320013001 - 2¹⁰ = 100320011977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100320013021) 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, 3331466 + ... + 3361443.

It is an arithmetic number, because the mean of its divisors is an integer number (13516331745).

Almost surely, 2^100320013001 is an apocalyptic number.

It is an amenable number.

100320013001 is a deficient number, since it is larger than the sum of its proper divisors (7810640959).

100320013001 is a wasteful number, since it uses less digits than its factorization.

100320013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694075.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100320013001 its reverse (100310023001), we get a palindrome (200630036002).

The spelling of 100320013001 in words is "one hundred billion, three hundred twenty million, thirteen thousand, one".