1001313330100 has 36 divisors (see below), whose sum is σ = 2174690021868. Its totient is φ = 400186144000.

The previous prime is 1001313330053. The next prime is 1001313330107. The reversal of 1001313330100 is 10333131001.

It can be written as a sum of positive squares in 6 ways, for example, as 6354959524 + 994958370576 = 79718^2 + 997476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001313330107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4121161 + ... + 4357360.

It is an arithmetic number, because the mean of its divisors is an integer number (60408056163).

Almost surely, 2^{1001313330100} is an apocalyptic number.

1001313330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001313330100 is an abundant number, since it is smaller than the sum of its proper divisors (1173376691768).

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

1001313330100 is a wasteful number, since it uses less digits than its factorization.

1001313330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479716 (or 8479709 counting only the distinct ones).

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

Adding to 1001313330100 its reverse (10333131001), we get a palindrome (1011646461101).

The spelling of 1001313330100 in words is "one trillion, one billion, three hundred thirteen million, three hundred thirty thousand, one hundred".