133123100033131 has 16 divisors (see below), whose sum is σ = 145840684405248. Its totient is φ = 120767933008800.

The previous prime is 133123100033081. The next prime is 133123100033153. The reversal of 133123100033131 is 131330001321331.

It is a cyclic number.

It is not a de Polignac number, because 133123100033131 - 2¹⁷ = 133123099902059 is a prime.

It is a super-2 number, since 2×133123100033131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133123100033096 and 133123100033105.

It is not an unprimeable number, because it can be changed into a prime (133123100033731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176932465 + ... + 177683266.

It is an arithmetic number, because the mean of its divisors is an integer number (9115042775328).

Almost surely, 2^{133123100033131} is an apocalyptic number.

133123100033131 is a deficient number, since it is larger than the sum of its proper divisors (12717584372117).

133123100033131 is a wasteful number, since it uses less digits than its factorization.

133123100033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354616242.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 133123100033131 its reverse (131330001321331), we get a palindrome (264453101354462).

The spelling of 133123100033131 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, thirty-three thousand, one hundred thirty-one".