145122322133313 has 36 divisors (see below), whose sum is σ = 252253438213140. Its totient is φ = 80067488066496.

The previous prime is 145122322133221. The next prime is 145122322133339. The reversal of 145122322133313 is 313331223221541.

145122322133313 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 2 + 322 + 13 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26335494403344 + 118786827729969 = 5131812^2 + 10898937^2 .

It is not a de Polignac number, because 145122322133313 - 2²⁴ = 145122305356097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145122322133413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5673703770 + ... + 5673729347.

It is an arithmetic number, because the mean of its divisors is an integer number (7007039950365).

Almost surely, 2^{145122322133313} is an apocalyptic number.

It is an amenable number.

145122322133313 is a deficient number, since it is larger than the sum of its proper divisors (107131116079827).

145122322133313 is a wasteful number, since it uses less digits than its factorization.

145122322133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11347433166 (or 11347433156 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 145122322133313 its reverse (313331223221541), we get a palindrome (458453545354854).

The spelling of 145122322133313 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred thirteen".