1005340031131 has 8 divisors (see below), whose sum is σ = 1006213285584. Its totient is φ = 1004467157760.

The previous prime is 1005340031063. The next prime is 1005340031207. The reversal of 1005340031131 is 1311300435001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005340031131 - 2¹⁵ = 1005339998363 is a prime.

It is a super-2 number, since 2×1005340031131² (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 (1005340031431) 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 7 ways as a sum of consecutive naturals, for example, 5315811 + ... + 5501683.

It is an arithmetic number, because the mean of its divisors is an integer number (125776660698).

Almost surely, 2^{1005340031131} is an apocalyptic number.

1005340031131 is a deficient number, since it is larger than the sum of its proper divisors (873254453).

1005340031131 is a wasteful number, since it uses less digits than its factorization.

1005340031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190541.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 1005340031131 its reverse (1311300435001), we get a palindrome (2316640466132).

The spelling of 1005340031131 in words is "one trillion, five billion, three hundred forty million, thirty-one thousand, one hundred thirty-one".