133100123222313 has 32 divisors (see below), whose sum is σ = 221586232654080. Its totient is φ = 78346560821760.

The previous prime is 133100123222237. The next prime is 133100123222327. The reversal of 133100123222313 is 313222321001331.

133100123222313 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 0 + 123 + 222 + 313 = 666.

It is not a de Polignac number, because 133100123222313 - 2⁹ = 133100123221801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133100123222393) 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, 8243527368 + ... + 8243543513.

It is an arithmetic number, because the mean of its divisors is an integer number (6924569770440).

Almost surely, 2^{133100123222313} is an apocalyptic number.

133100123222313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133100123222313 is a deficient number, since it is larger than the sum of its proper divisors (88486109431767).

133100123222313 is a wasteful number, since it uses less digits than its factorization.

133100123222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487070926 (or 16487070920 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133100123222313 its reverse (313222321001331), we get a palindrome (446322444223644).

The spelling of 133100123222313 in words is "one hundred thirty-three trillion, one hundred billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred thirteen".