10002113 has 8 divisors (see below), whose sum is σ = 11485920. Its totient is φ = 8614080.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002113 is 31120001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002113 - 2¹² = 9998017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002113.

It is not an unprimeable number, because it can be changed into a prime (10002133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23720 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (1435740).

Almost surely, 2^10002113 is an apocalyptic number.

It is an amenable number.

10002113 is a deficient number, since it is larger than the sum of its proper divisors (1483807).

10002113 is a wasteful number, since it uses less digits than its factorization.

10002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47887.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10002113 is about 3162.6117371565. The cubic root of 10002113 is about 215.4586423362.

Adding to 10002113 its reverse (31120001), we get a palindrome (41122114).

It can be divided in two parts, 1000 and 2113, that added together give a palindrome (3113).

The spelling of 10002113 in words is "ten million, two thousand, one hundred thirteen".