200013400400333 has 8 divisors (see below), whose sum is σ = 217531710413976. Its totient is φ = 182799756648000.

The previous prime is 200013400400311. The next prime is 200013400400351. The reversal of 200013400400333 is 333004004310002.

It can be written as a sum of positive squares in 4 ways, for example, as 4132186397284 + 195881214003049 = 2032778^2 + 13995757^2 .

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 200013400400333 - 2⁶ = 200013400400269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200013400400299 and 200013400400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013400420333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76166563958 + ... + 76166566583.

It is an arithmetic number, because the mean of its divisors is an integer number (27191463801747).

Almost surely, 2^{200013400400333} is an apocalyptic number.

It is an amenable number.

200013400400333 is a deficient number, since it is larger than the sum of its proper divisors (17518310013643).

200013400400333 is a wasteful number, since it uses less digits than its factorization.

200013400400333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152333130655.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 200013400400333 its reverse (333004004310002), we get a palindrome (533017404710335).

The spelling of 200013400400333 in words is "two hundred trillion, thirteen billion, four hundred million, four hundred thousand, three hundred thirty-three".