10005115424311 has 16 divisors (see below), whose sum is σ = 11721172921920. Its totient is φ = 8361027717120.

The previous prime is 10005115424299. The next prime is 10005115424413. The reversal of 10005115424311 is 11342451150001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10005115424311 - 2⁴³ = 1209022402103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10005115424311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005115421311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11278846 + ... + 12133531.

It is an arithmetic number, because the mean of its divisors is an integer number (732573307620).

Almost surely, 2^{10005115424311} is an apocalyptic number.

10005115424311 is a deficient number, since it is larger than the sum of its proper divisors (1716057497609).

10005115424311 is a wasteful number, since it uses less digits than its factorization.

10005115424311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23413914.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 10005115424311 its reverse (11342451150001), we get a palindrome (21347566574312).

The spelling of 10005115424311 in words is "ten trillion, five billion, one hundred fifteen million, four hundred twenty-four thousand, three hundred eleven".