110121312323133 has 32 divisors (see below), whose sum is σ = 167735868971520. Its totient is φ = 71351631449280.

The previous prime is 110121312323119. The next prime is 110121312323161. The reversal of 110121312323133 is 331323213121011.

110121312323133 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 1 + 312 + 32 + 313 + 3 = 666.

It is not a de Polignac number, because 110121312323133 - 2⁶ = 110121312323069 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 110121312323097 and 110121312323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121312323173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59590210 + ... + 61410387.

It is an arithmetic number, because the mean of its divisors is an integer number (5241745905360).

Almost surely, 2^{110121312323133} is an apocalyptic number.

It is an amenable number.

110121312323133 is a deficient number, since it is larger than the sum of its proper divisors (57614556648387).

110121312323133 is a wasteful number, since it uses less digits than its factorization.

110121312323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121001554 (or 121001548 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 110121312323133 its reverse (331323213121011), we get a palindrome (441444525444144).

The spelling of 110121312323133 in words is "one hundred ten trillion, one hundred twenty-one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty-three".