10002004413 has 16 divisors (see below), whose sum is σ = 13413576000. Its totient is φ = 6629310720.

The previous prime is 10002004409. The next prime is 10002004421. The reversal of 10002004413 is 31440020001.

It is not a de Polignac number, because 10002004413 - 2² = 10002004409 is a prime.

It is a super-3 number, since 3×10002004413³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002004392 and 10002004401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002004423) 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, 436363 + ... + 458711.

It is an arithmetic number, because the mean of its divisors is an integer number (838348500).

Almost surely, 2^10002004413 is an apocalyptic number.

It is an amenable number.

10002004413 is a deficient number, since it is larger than the sum of its proper divisors (3411571587).

10002004413 is a wasteful number, since it uses less digits than its factorization.

10002004413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23212.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10002004413 its reverse (31440020001), we get a palindrome (41442024414).

The spelling of 10002004413 in words is "ten billion, two million, four thousand, four hundred thirteen".