10002007213 has 16 divisors (see below), whose sum is σ = 11055030336. Its totient is φ = 8973187840.

The previous prime is 10002007207. The next prime is 10002007237. The reversal of 10002007213 is 31270020001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10002007213 - 2¹⁷ = 10001876141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002007243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886395 + ... + 897607.

It is an arithmetic number, because the mean of its divisors is an integer number (690939396).

Almost surely, 2^10002007213 is an apocalyptic number.

It is an amenable number.

10002007213 is a deficient number, since it is larger than the sum of its proper divisors (1053023123).

10002007213 is a wasteful number, since it uses less digits than its factorization.

10002007213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 10002007213 its reverse (31270020001), we get a palindrome (41272027214).

The spelling of 10002007213 in words is "ten billion, two million, seven thousand, two hundred thirteen".