13112333131133 has 8 divisors (see below), whose sum is σ = 13123960395000. Its totient is φ = 13100707676160.

The previous prime is 13112333131123. The next prime is 13112333131153. The reversal of 13112333131133 is 33113133321131.

It can be written as a sum of positive squares in 4 ways, for example, as 1917333163684 + 11194999967449 = 1384678^2 + 3345893^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13112333131133 - 2³⁸ = 12837455224189 is a prime.

It is a super-3 number, since 3×13112333131133³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13112333131096 and 13112333131105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112333131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14263763 + ... + 15155183.

It is an arithmetic number, because the mean of its divisors is an integer number (1640495049375).

Almost surely, 2^{13112333131133} is an apocalyptic number.

It is an amenable number.

13112333131133 is a deficient number, since it is larger than the sum of its proper divisors (11627263867).

13112333131133 is a wasteful number, since it uses less digits than its factorization.

13112333131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904447.

The product of its digits is 4374, while the sum is 29.

Adding to 13112333131133 its reverse (33113133321131), we get a palindrome (46225466452264).

The spelling of 13112333131133 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-three".