1004200102413 has 12 divisors (see below), whose sum is σ = 1450667466300. Its totient is φ = 669394639296.

The previous prime is 1004200102397. The next prime is 1004200102417. The reversal of 1004200102413 is 3142010024001.

1004200102413 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 0 + 1 + 0 + 241 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480390382404 + 523809720009 = 693102^2 + 723747^2 .

It is not a de Polignac number, because 1004200102413 - 2⁴ = 1004200102397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004200102417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5919688 + ... + 6086961.

It is an arithmetic number, because the mean of its divisors is an integer number (120888955525).

Almost surely, 2^{1004200102413} is an apocalyptic number.

It is an amenable number.

1004200102413 is a deficient number, since it is larger than the sum of its proper divisors (446467363887).

1004200102413 is a wasteful number, since it uses less digits than its factorization.

1004200102413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015948 (or 12015945 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004200102413 its reverse (3142010024001), we get a palindrome (4146210126414).

The spelling of 1004200102413 in words is "one trillion, four billion, two hundred million, one hundred two thousand, four hundred thirteen".