13000013103033 has 32 divisors (see below), whose sum is σ = 21052226880000. Its totient is φ = 7863006560400.

The previous prime is 13000013102939. The next prime is 13000013103061. The reversal of 13000013103033 is 33030131000031.

It is not a de Polignac number, because 13000013103033 - 2¹⁴ = 13000013086649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000013102997 and 13000013103015.

It is not an unprimeable number, because it can be changed into a prime (13000013103733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43710603 + ... + 44007008.

It is an arithmetic number, because the mean of its divisors is an integer number (657882090000).

Almost surely, 2^{13000013103033} is an apocalyptic number.

It is an amenable number.

13000013103033 is a deficient number, since it is larger than the sum of its proper divisors (8052213776967).

13000013103033 is a wasteful number, since it uses less digits than its factorization.

13000013103033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87718130 (or 87718124 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13000013103033 its reverse (33030131000031), we get a palindrome (46030144103064).

The spelling of 13000013103033 in words is "thirteen trillion, thirteen million, one hundred three thousand, thirty-three".