1001082837213 has 10 divisors (see below), whose sum is σ = 1495444732254. Its totient is φ = 667388558088.

The previous prime is 1001082837199. The next prime is 1001082837301. The reversal of 1001082837213 is 3127382801001.

It can be written as a sum of positive squares in only one way, i.e., 835024957209 + 166057880004 = 913797^2 + 407502^2 .

It is not a de Polignac number, because 1001082837213 - 2⁴ = 1001082837197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001082837613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6179523606 + ... + 6179523767.

Almost surely, 2^{1001082837213} is an apocalyptic number.

It is an amenable number.

1001082837213 is a deficient number, since it is larger than the sum of its proper divisors (494361895041).

1001082837213 is an equidigital number, since it uses as much as digits as its factorization.

1001082837213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359047385 (or 12359047376 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1001082837213 in words is "one trillion, one billion, eighty-two million, eight hundred thirty-seven thousand, two hundred thirteen".