13013021312033 has 8 divisors (see below), whose sum is σ = 13024207032480. Its totient is φ = 13001838488800.

The previous prime is 13013021311993. The next prime is 13013021312111. The reversal of 13013021312033 is 33021312031031.

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 13013021312033 - 2¹⁴ = 13013021295649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013021317033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8311058 + ... + 9751908.

It is an arithmetic number, because the mean of its divisors is an integer number (1628025879060).

Almost surely, 2^{13013021312033} is an apocalyptic number.

It is an amenable number.

13013021312033 is a deficient number, since it is larger than the sum of its proper divisors (11185720447).

13013021312033 is a wasteful number, since it uses less digits than its factorization.

13013021312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448607.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13013021312033 its reverse (33021312031031), we get a palindrome (46034333343064).

The spelling of 13013021312033 in words is "thirteen trillion, thirteen billion, twenty-one million, three hundred twelve thousand, thirty-three".