133013301320321 has 24 divisors (see below), whose sum is σ = 139589447777640. Its totient is φ = 126734788857600.

The previous prime is 133013301320299. The next prime is 133013301320323. The reversal of 133013301320321 is 123023103310331.

It can be written as a sum of positive squares in 4 ways, for example, as 38619252084721 + 94394049235600 = 6214439^2 + 9715660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-133013301320321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013301320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836792711 + ... + 836951651.

It is an arithmetic number, because the mean of its divisors is an integer number (5816226990735).

Almost surely, 2^{133013301320321} is an apocalyptic number.

It is an amenable number.

133013301320321 is a deficient number, since it is larger than the sum of its proper divisors (6576146457319).

133013301320321 is a wasteful number, since it uses less digits than its factorization.

133013301320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165137 (or 165114 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 133013301320321 its reverse (123023103310331), we get a palindrome (256036404630652).

The spelling of 133013301320321 in words is "one hundred thirty-three trillion, thirteen billion, three hundred one million, three hundred twenty thousand, three hundred twenty-one".