10330011001000 has 32 divisors (see below), whose sum is σ = 24172225744680. Its totient is φ = 4132004400000.

The previous prime is 10330011000983. The next prime is 10330011001033. The reversal of 10330011001000 is 10011003301.

It can be written as a sum of positive squares in 4 ways, for example, as 4580019449604 + 5749991551396 = 2140098^2 + 2397914^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5165004501 + ... + 5165006500.

Almost surely, 2^{10330011001000} is an apocalyptic number.

10330011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330011001000 is an abundant number, since it is smaller than the sum of its proper divisors (13842214743680).

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

10330011001000 is a wasteful number, since it uses less digits than its factorization.

10330011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330011022 (or 10330011008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10330011001000 its reverse (10011003301), we get a palindrome (10340022004301).

The spelling of 10330011001000 in words is "ten trillion, three hundred thirty billion, eleven million, one thousand".