33400400101321 has 16 divisors (see below), whose sum is σ = 36592290328320. Its totient is φ = 30234445991680.

The previous prime is 33400400101309. The next prime is 33400400101337. The reversal of 33400400101321 is 12310100400433.

It is a cyclic number.

It is not a de Polignac number, because 33400400101321 - 2⁷ = 33400400101193 is a prime.

It is a super-2 number, since 2×33400400101321² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33400400101292 and 33400400101301.

It is not an unprimeable number, because it can be changed into a prime (33400400101021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31545105 + ... + 32586721.

It is an arithmetic number, because the mean of its divisors is an integer number (2287018145520).

Almost surely, 2^{33400400101321} is an apocalyptic number.

It is an amenable number.

33400400101321 is a deficient number, since it is larger than the sum of its proper divisors (3191890226999).

33400400101321 is a wasteful number, since it uses less digits than its factorization.

33400400101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054064.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33400400101321 its reverse (12310100400433), we get a palindrome (45710500501754).

The spelling of 33400400101321 in words is "thirty-three trillion, four hundred billion, four hundred million, one hundred one thousand, three hundred twenty-one".