133101011313 has 6 divisors (see below), whose sum is σ = 192257016354. Its totient is φ = 88734007536.

The previous prime is 133101011299. The next prime is 133101011321. The reversal of 133101011313 is 313110101331.

133101011313 is a `hidden beast` number, since 1 + 331 + 0 + 10 + 11 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126115896384 + 6985114929 = 355128^2 + 83577^2 .

It is not a de Polignac number, because 133101011313 - 2¹⁶ = 133100945777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133101011413) 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, 7394500620 + ... + 7394500637.

It is an arithmetic number, because the mean of its divisors is an integer number (32042836059).

Almost surely, 2^133101011313 is an apocalyptic number.

It is an amenable number.

133101011313 is a deficient number, since it is larger than the sum of its proper divisors (59156005041).

133101011313 is a wasteful number, since it uses less digits than its factorization.

133101011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789001263 (or 14789001260 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 133101011313 its reverse (313110101331), we get a palindrome (446211112644).

The spelling of 133101011313 in words is "one hundred thirty-three billion, one hundred one million, eleven thousand, three hundred thirteen".