133013222221313 has 32 divisors (see below), whose sum is σ = 164246587488000. Its totient is φ = 107301798143232.

The previous prime is 133013222221301. The next prime is 133013222221333. The reversal of 133013222221313 is 313122222310331.

It is not a de Polignac number, because 133013222221313 - 2¹⁸ = 133013221959169 is a prime.

It is a super-3 number, since 3×133013222221313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013222221333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222661658 + ... + 223258236.

It is an arithmetic number, because the mean of its divisors is an integer number (5132705859000).

Almost surely, 2^{133013222221313} is an apocalyptic number.

It is an amenable number.

133013222221313 is a deficient number, since it is larger than the sum of its proper divisors (31233365266687).

133013222221313 is an equidigital number, since it uses as much as digits as its factorization.

133013222221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634854 (or 634840 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 133013222221313 its reverse (313122222310331), we get a palindrome (446135444531644).

The spelling of 133013222221313 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".