401200133 has 2 divisors, whose sum is σ = 401200134. Its totient is φ = 401200132.

The previous prime is 401200117. The next prime is 401200147. The reversal of 401200133 is 331002104.

It is an a-pointer prime, because the next prime (401200147) can be obtained adding 401200133 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322310209 + 78889924 = 17953^2 + 8882^2 .

It is a cyclic number.

It is not a de Polignac number, because 401200133 - 2⁴ = 401200117 is a prime.

It is a super-3 number, since 3×401200133³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401200103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200600066 + 200600067.

It is an arithmetic number, because the mean of its divisors is an integer number (200600067).

Almost surely, 2^401200133 is an apocalyptic number.

It is an amenable number.

401200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

401200133 is an equidigital number, since it uses as much as digits as its factorization.

401200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 401200133 is about 20029.9808537103. The cubic root of 401200133 is about 737.5424519468.

Adding to 401200133 its reverse (331002104), we get a palindrome (732202237).

The spelling of 401200133 in words is "four hundred one million, two hundred thousand, one hundred thirty-three".