1001133001300 has 18 divisors (see below), whose sum is σ = 2172458613038. Its totient is φ = 400453200480.

The previous prime is 1001133001289. The next prime is 1001133001339. The reversal of 1001133001300 is 31003311001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25044328516 + 976088672784 = 158254^2 + 987972^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5005664907 + ... + 5005665106.

Almost surely, 2^{1001133001300} is an apocalyptic number.

1001133001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001133001300 is an abundant number, since it is smaller than the sum of its proper divisors (1171325611738).

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

1001133001300 is a wasteful number, since it uses less digits than its factorization.

1001133001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011330027 (or 10011330020 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1001133001300 its reverse (31003311001), we get a palindrome (1032136312301).

The spelling of 1001133001300 in words is "one trillion, one billion, one hundred thirty-three million, one thousand, three hundred".