1133113133101 has 8 divisors (see below), whose sum is σ = 1164284505720. Its totient is φ = 1101970533888.

The previous prime is 1133113133083. The next prime is 1133113133107. The reversal of 1133113133101 is 1013313113311.

It can be written as a sum of positive squares in 4 ways, for example, as 53282488900 + 1079830644201 = 230830^2 + 1039149^2 .

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 1133113133101 - 2⁷ = 1133113132973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133113133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7113496 + ... + 7271041.

It is an arithmetic number, because the mean of its divisors is an integer number (145535563215).

Almost surely, 2^{1133113133101} is an apocalyptic number.

It is an amenable number.

1133113133101 is a deficient number, since it is larger than the sum of its proper divisors (31171372619).

1133113133101 is a wasteful number, since it uses less digits than its factorization.

1133113133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386703.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1133113133101 its reverse (1013313113311), we get a palindrome (2146426246412).

The spelling of 1133113133101 in words is "one trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred one".