10002054213 has 24 divisors (see below), whose sum is σ = 14681437056. Its totient is φ = 6560416800.

The previous prime is 10002054187. The next prime is 10002054239. The reversal of 10002054213 is 31245020001.

10002054213 is a `hidden beast` number, since 100 + 0 + 20 + 542 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10002054187) and next prime (10002054239).

It is not a de Polignac number, because 10002054213 - 2¹⁰ = 10002053189 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 (10002054113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295123 + ... + 327263.

It is an arithmetic number, because the mean of its divisors is an integer number (611726544).

Almost surely, 2^10002054213 is an apocalyptic number.

It is an amenable number.

10002054213 is a deficient number, since it is larger than the sum of its proper divisors (4679382843).

10002054213 is a wasteful number, since it uses less digits than its factorization.

10002054213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32705 (or 32702 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10002054213 its reverse (31245020001), we get a palindrome (41247074214).

The spelling of 10002054213 in words is "ten billion, two million, fifty-four thousand, two hundred thirteen".