10001001000320 has 128 divisors (see below), whose sum is σ = 26083671213600. Its totient is φ = 3636516372480.

The previous prime is 10001001000317. The next prime is 10001001000343. The reversal of 10001001000320 is 2300010010001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001001000298 and 10001001000307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172232732 + ... + 172290788.

Almost surely, 2^{10001001000320} is an apocalyptic number.

10001001000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001000320 is an abundant number, since it is smaller than the sum of its proper divisors (16082670213280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001001000320 is a wasteful number, since it uses less digits than its factorization.

10001001000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82556 (or 82544 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10001001000320 its reverse (2300010010001), we get a palindrome (12301011010321).

The spelling of 10001001000320 in words is "ten trillion, one billion, one million, three hundred twenty", and thus it is an aban number.