1001013132100 has 72 divisors (see below), whose sum is σ = 2186981852328. Its totient is φ = 397688832000.

The previous prime is 1001013132079. The next prime is 1001013132127. The reversal of 1001013132100 is 12313101001.

It can be written as a sum of positive squares in 12 ways, for example, as 23829479424 + 977183652676 = 154368^2 + 988526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9289732 + ... + 9396868.

It is an arithmetic number, because the mean of its divisors is an integer number (30374747949).

Almost surely, 2^{1001013132100} is an apocalyptic number.

1001013132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001013132100 is an abundant number, since it is smaller than the sum of its proper divisors (1185968720228).

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

1001013132100 is a wasteful number, since it uses less digits than its factorization.

1001013132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107785 (or 107778 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1001013132100 its reverse (12313101001), we get a palindrome (1013326233101).

The spelling of 1001013132100 in words is "one trillion, one billion, thirteen million, one hundred thirty-two thousand, one hundred".