13330031221013 has 8 divisors (see below), whose sum is σ = 15199854605208. Its totient is φ = 11580841603584.

The previous prime is 13330031220973. The next prime is 13330031221043. The reversal of 13330031221013 is 31012213003331.

13330031221013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1636756892164 + 11693274328849 = 1279358^2 + 3419543^2 .

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 13330031221013 - 2²² = 13330027026709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13330031221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330031221043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30158441456 + ... + 30158441897.

It is an arithmetic number, because the mean of its divisors is an integer number (1899981825651).

Almost surely, 2^{13330031221013} is an apocalyptic number.

13330031221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13330031221013 is a deficient number, since it is larger than the sum of its proper divisors (1869823384195).

13330031221013 is a wasteful number, since it uses less digits than its factorization.

13330031221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60316883383.

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

Adding to 13330031221013 its reverse (31012213003331), we get a palindrome (44342244224344).

The spelling of 13330031221013 in words is "thirteen trillion, three hundred thirty billion, thirty-one million, two hundred twenty-one thousand, thirteen".