10005040105311 has 8 divisors (see below), whose sum is σ = 13340573514544. Its totient is φ = 6669766716480.

The previous prime is 10005040105267. The next prime is 10005040105331. The reversal of 10005040105311 is 11350104050001.

It is a happy number.

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

It is not a de Polignac number, because 10005040105311 - 2³¹ = 10002892621663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005040105331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64915300 + ... + 65069241.

It is an arithmetic number, because the mean of its divisors is an integer number (1667571689318).

Almost surely, 2^{10005040105311} is an apocalyptic number.

10005040105311 is a deficient number, since it is larger than the sum of its proper divisors (3335533409233).

10005040105311 is a wasteful number, since it uses less digits than its factorization.

10005040105311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130010201.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10005040105311 its reverse (11350104050001), we get a palindrome (21355144155312).

The spelling of 10005040105311 in words is "ten trillion, five billion, forty million, one hundred five thousand, three hundred eleven".