1004342131413 has 64 divisors (see below), whose sum is σ = 1519151155200. Its totient is φ = 663862473648.

The previous prime is 1004342131391. The next prime is 1004342131417. The reversal of 1004342131413 is 3141312434001.

1004342131413 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 34 + 213 + 1 + 413 = 666.

It is not a de Polignac number, because 1004342131413 - 2⁹ = 1004342130901 is a prime.

It is a super-2 number, since 2×1004342131413² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004342131417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153027670 + ... + 153034232.

It is an arithmetic number, because the mean of its divisors is an integer number (23736736800).

Almost surely, 2^{1004342131413} is an apocalyptic number.

It is an amenable number.

1004342131413 is a deficient number, since it is larger than the sum of its proper divisors (514809023787).

1004342131413 is an frugal number, since it uses more digits than its factorization.

1004342131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1004342131413 its reverse (3141312434001), we get a palindrome (4145654565414).

The spelling of 1004342131413 in words is "one trillion, four billion, three hundred forty-two million, one hundred thirty-one thousand, four hundred thirteen".