1005141313313 has 6 divisors (see below), whose sum is σ = 1050743188194. Its totient is φ = 961439516576.

The previous prime is 1005141313289. The next prime is 1005141313369. The reversal of 1005141313313 is 3133131415001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 989115778849 + 16025534464 = 994543^2 + 126592^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1005141313313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005141313213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 950038520 + ... + 950039577.

It is an arithmetic number, because the mean of its divisors is an integer number (175123864699).

Almost surely, 2^{1005141313313} is an apocalyptic number.

It is an amenable number.

1005141313313 is a deficient number, since it is larger than the sum of its proper divisors (45601874881).

1005141313313 is an equidigital number, since it uses as much as digits as its factorization.

1005141313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900078143 (or 1900078120 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 1005141313313 its reverse (3133131415001), we get a palindrome (4138272728314).

The spelling of 1005141313313 in words is "one trillion, five billion, one hundred forty-one million, three hundred thirteen thousand, three hundred thirteen".