13031331300221 has 8 divisors (see below), whose sum is σ = 14859255600504. Its totient is φ = 11321337600000.

The previous prime is 13031331300209. The next prime is 13031331300241. The reversal of 13031331300221 is 12200313313031.

It can be written as a sum of positive squares in 4 ways, for example, as 935640271225 + 12095691028996 = 967285^2 + 3477886^2 .

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 13031331300221 - 2³⁰ = 13030257558397 is a prime.

It is a super-2 number, since 2×13031331300221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031331300241) 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, 29482649780 + ... + 29482650221.

It is an arithmetic number, because the mean of its divisors is an integer number (1857406950063).

Almost surely, 2^{13031331300221} is an apocalyptic number.

It is an amenable number.

13031331300221 is a deficient number, since it is larger than the sum of its proper divisors (1827924300283).

13031331300221 is a wasteful number, since it uses less digits than its factorization.

13031331300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58965300031.

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

Adding to 13031331300221 its reverse (12200313313031), we get a palindrome (25231644613252).

The spelling of 13031331300221 in words is "thirteen trillion, thirty-one billion, three hundred thirty-one million, three hundred thousand, two hundred twenty-one".