13031331332033 has 16 divisors (see below), whose sum is σ = 15301027104000. Its totient is φ = 10863874478016.

The previous prime is 13031331332027. The next prime is 13031331332057. The reversal of 13031331332033 is 33023313313031.

It is a happy number.

It is not a de Polignac number, because 13031331332033 - 2¹⁰ = 13031331331009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13031331331987 and 13031331332005.

It is not an unprimeable number, because it can be changed into a prime (13031331332023) 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, 8439341 + ... + 9863322.

It is an arithmetic number, because the mean of its divisors is an integer number (956314194000).

Almost surely, 2^{13031331332033} is an apocalyptic number.

It is an amenable number.

13031331332033 is a deficient number, since it is larger than the sum of its proper divisors (2269695771967).

13031331332033 is a wasteful number, since it uses less digits than its factorization.

13031331332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305456.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 13031331332033 its reverse (33023313313031), we get a palindrome (46054644645064).

The spelling of 13031331332033 in words is "thirteen trillion, thirty-one billion, three hundred thirty-one million, three hundred thirty-two thousand, thirty-three".