213333404032040 has 16 divisors (see below), whose sum is σ = 480000159072180. Its totient is φ = 85333361612800.

The previous prime is 213333404032033. The next prime is 213333404032109. The reversal of 213333404032040 is 40230404333312.

It can be written as a sum of positive squares in 2 ways, for example, as 212561645296036 + 771758736004 = 14579494^2 + 878498^2 .

It is a super-2 number, since 2×213333404032040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213333404031988 and 213333404032006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2666667550361 + ... + 2666667550440.

Almost surely, 2^{213333404032040} is an apocalyptic number.

213333404032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213333404032040 is an abundant number, since it is smaller than the sum of its proper divisors (266666755040140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213333404032040 is a wasteful number, since it uses less digits than its factorization.

213333404032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333335100812 (or 5333335100808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 213333404032040 its reverse (40230404333312), we get a palindrome (253563808365352).

The spelling of 213333404032040 in words is "two hundred thirteen trillion, three hundred thirty-three billion, four hundred four million, thirty-two thousand, forty".