33106401356117 has 2 divisors, whose sum is σ = 33106401356118. Its totient is φ = 33106401356116.

The previous prime is 33106401356111. The next prime is 33106401356207. The reversal of 33106401356117 is 71165310460133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21220772773201 + 11885628582916 = 4606601^2 + 3447554^2 .

It is a cyclic number.

It is not a de Polignac number, because 33106401356117 - 2¹⁴ = 33106401339733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33106401356111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16553200678058 + 16553200678059.

It is an arithmetic number, because the mean of its divisors is an integer number (16553200678059).

Almost surely, 2^{33106401356117} is an apocalyptic number.

It is an amenable number.

33106401356117 is a deficient number, since it is larger than the sum of its proper divisors (1).

33106401356117 is an equidigital number, since it uses as much as digits as its factorization.

33106401356117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 33106401356117 in words is "thirty-three trillion, one hundred six billion, four hundred one million, three hundred fifty-six thousand, one hundred seventeen".