13001312121003 has 48 divisors (see below), whose sum is σ = 19693928217600. Its totient is φ = 8256463205760.

The previous prime is 13001312120999. The next prime is 13001312121073. The reversal of 13001312121003 is 30012121310031.

13001312121003 is a `hidden beast` number, since 1 + 300 + 131 + 21 + 210 + 0 + 3 = 666.

It is not a de Polignac number, because 13001312121003 - 2² = 13001312120999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001312121073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6372138 + ... + 8161296.

It is an arithmetic number, because the mean of its divisors is an integer number (410290171200).

Almost surely, 2^{13001312121003} is an apocalyptic number.

13001312121003 is a deficient number, since it is larger than the sum of its proper divisors (6692616096597).

13001312121003 is a wasteful number, since it uses less digits than its factorization.

13001312121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789672 (or 1789669 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13001312121003 its reverse (30012121310031), we get a palindrome (43013433431034).

The spelling of 13001312121003 in words is "thirteen trillion, one billion, three hundred twelve million, one hundred twenty-one thousand, three".