13121234220321 has 6 divisors (see below), whose sum is σ = 18952893873810. Its totient is φ = 8747489480208.

The previous prime is 13121234220301. The next prime is 13121234220361. The reversal of 13121234220321 is 12302243212131.

13121234220321 is a `hidden beast` number, since 1 + 3 + 1 + 212 + 3 + 422 + 0 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11797411389696 + 1323822830625 = 3434736^2 + 1150575^2 .

It is not a de Polignac number, because 13121234220321 - 2¹¹ = 13121234218273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121234220301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728957456676 + ... + 728957456693.

It is an arithmetic number, because the mean of its divisors is an integer number (3158815645635).

Almost surely, 2^{13121234220321} is an apocalyptic number.

It is an amenable number.

13121234220321 is a deficient number, since it is larger than the sum of its proper divisors (5831659653489).

13121234220321 is a wasteful number, since it uses less digits than its factorization.

13121234220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457914913375 (or 1457914913372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13121234220321 its reverse (12302243212131), we get a palindrome (25423477432452).

The spelling of 13121234220321 in words is "thirteen trillion, one hundred twenty-one billion, two hundred thirty-four million, two hundred twenty thousand, three hundred twenty-one".