10005120500311 has 8 divisors (see below), whose sum is σ = 10071481691744. Its totient is φ = 9938760652800.

The previous prime is 10005120500209. The next prime is 10005120500359. The reversal of 10005120500311 is 11300502150001.

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 10005120500311 - 2¹⁹ = 10005119976023 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 (10005120500371) 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, 17858791 + ... + 18410503.

It is an arithmetic number, because the mean of its divisors is an integer number (1258935211468).

Almost surely, 2^{10005120500311} is an apocalyptic number.

10005120500311 is a deficient number, since it is larger than the sum of its proper divisors (66361191433).

10005120500311 is a wasteful number, since it uses less digits than its factorization.

10005120500311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671961.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10005120500311 its reverse (11300502150001), we get a palindrome (21305622650312).

The spelling of 10005120500311 in words is "ten trillion, five billion, one hundred twenty million, five hundred thousand, three hundred eleven".