501331121133105 has 32 divisors (see below), whose sum is σ = 831469404487680. Its totient is φ = 257668903880640.

The previous prime is 501331121133041. The next prime is 501331121133131.

501331121133105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 501331121133105 - 2⁶ = 501331121133041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255393977 + ... + 2255616246.

It is an arithmetic number, because the mean of its divisors is an integer number (25983418890240).

Almost surely, 2^{501331121133105} is an apocalyptic number.

It is an amenable number.

501331121133105 is a deficient number, since it is larger than the sum of its proper divisors (330138283354575).

501331121133105 is a wasteful number, since it uses less digits than its factorization.

501331121133105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511010501.

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 501331121133105 in words is "five hundred one trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred five".