1004242040131 has 32 divisors (see below), whose sum is σ = 1156026816000. Its totient is φ = 863448622080.

The previous prime is 1004242040119. The next prime is 1004242040141. The reversal of 1004242040131 is 1310402424001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1004242040131 is a prime.

It is a super-2 number, since 2×1004242040131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004242040101) 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 31 ways as a sum of consecutive naturals, for example, 27197520 + ... + 27234418.

It is an arithmetic number, because the mean of its divisors is an integer number (36125838000).

Almost surely, 2^{1004242040131} is an apocalyptic number.

1004242040131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004242040131 is a deficient number, since it is larger than the sum of its proper divisors (151784775869).

1004242040131 is a wasteful number, since it uses less digits than its factorization.

1004242040131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38139.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1004242040131 its reverse (1310402424001), we get a palindrome (2314644464132).

The spelling of 1004242040131 in words is "one trillion, four billion, two hundred forty-two million, forty thousand, one hundred thirty-one".