110400216133 has 2 divisors, whose sum is σ = 110400216134. Its totient is φ = 110400216132.

The previous prime is 110400216127. The next prime is 110400216139. The reversal of 110400216133 is 331612004011.

It is a balanced prime because it is at equal distance from previous prime (110400216127) and next prime (110400216139).

It can be written as a sum of positive squares in only one way, i.e., 75304689889 + 35095526244 = 274417^2 + 187338^2 .

It is a cyclic number.

It is not a de Polignac number, because 110400216133 - 2²⁵ = 110366661701 is a prime.

It is a super-2 number, since 2×110400216133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110400216139) 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 as a sum of consecutive naturals, namely, 55200108066 + 55200108067.

It is an arithmetic number, because the mean of its divisors is an integer number (55200108067).

Almost surely, 2^110400216133 is an apocalyptic number.

It is an amenable number.

110400216133 is a deficient number, since it is larger than the sum of its proper divisors (1).

110400216133 is an equidigital number, since it uses as much as digits as its factorization.

110400216133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 110400216133 in words is "one hundred ten billion, four hundred million, two hundred sixteen thousand, one hundred thirty-three".