1001333130100 has 36 divisors (see below), whose sum is σ = 2178311665068. Its totient is φ = 399534400000.

The previous prime is 1001333130071. The next prime is 1001333130143. The reversal of 1001333130100 is 10313331001.

It can be written as a sum of positive squares in 6 ways, for example, as 1545118864 + 999788011236 = 39308^2 + 999894^2 .

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 11 ways as a sum of consecutive naturals, for example, 12445351 + ... + 12525550.

It is an arithmetic number, because the mean of its divisors is an integer number (60508657363).

Almost surely, 2^{1001333130100} is an apocalyptic number.

1001333130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001333130100 is an abundant number, since it is smaller than the sum of its proper divisors (1176978534968).

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

1001333130100 is a wasteful number, since it uses less digits than its factorization.

1001333130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24971316 (or 24971309 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1001333130100 its reverse (10313331001), we get a palindrome (1011646461101).

The spelling of 1001333130100 in words is "one trillion, one billion, three hundred thirty-three million, one hundred thirty thousand, one hundred".