10003132011213 has 12 divisors (see below), whose sum is σ = 15762511048128. Its totient is φ = 6062504249160.

The previous prime is 10003132011199. The next prime is 10003132011217. The reversal of 10003132011213 is 31211023130001.

10003132011213 is a `hidden beast` number, since 100 + 0 + 31 + 320 + 1 + 1 + 213 = 666.

It is not a de Polignac number, because 10003132011213 - 2³⁰ = 10002058269389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003132011217) by changing a digit.

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, 50520868645 + ... + 50520868842.

It is an arithmetic number, because the mean of its divisors is an integer number (1313542587344).

Almost surely, 2^{10003132011213} is an apocalyptic number.

It is an amenable number.

10003132011213 is a deficient number, since it is larger than the sum of its proper divisors (5759379036915).

10003132011213 is a wasteful number, since it uses less digits than its factorization.

10003132011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101041737504 (or 101041737501 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10003132011213 its reverse (31211023130001), we get a palindrome (41214155141214).

The spelling of 10003132011213 in words is "ten trillion, three billion, one hundred thirty-two million, eleven thousand, two hundred thirteen".