2004121343413 has 32 divisors (see below), whose sum is σ = 2467983458304. Its totient is φ = 1588465251072.

The previous prime is 2004121343401. The next prime is 2004121343431. The reversal of 2004121343413 is 3143431214002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2004121343413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004121353413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912906 + ... + 2200372.

It is an arithmetic number, because the mean of its divisors is an integer number (77124483072).

Almost surely, 2^{2004121343413} is an apocalyptic number.

It is an amenable number.

2004121343413 is a deficient number, since it is larger than the sum of its proper divisors (463862114891).

2004121343413 is a wasteful number, since it uses less digits than its factorization.

2004121343413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287721.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2004121343413 its reverse (3143431214002), we get a palindrome (5147552557415).

The spelling of 2004121343413 in words is "two trillion, four billion, one hundred twenty-one million, three hundred forty-three thousand, four hundred thirteen".