13233330400249 has 2 divisors, whose sum is σ = 13233330400250. Its totient is φ = 13233330400248.

The previous prime is 13233330400229. The next prime is 13233330400253. The reversal of 13233330400249 is 94200403333231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8879714613225 + 4353615787024 = 2979885^2 + 2086532^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233330400249 - 2²⁵ = 13233296845817 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233330400229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6616665200124 + 6616665200125.

It is an arithmetic number, because the mean of its divisors is an integer number (6616665200125).

Almost surely, 2^{13233330400249} is an apocalyptic number.

It is an amenable number.

13233330400249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233330400249 is an equidigital number, since it uses as much as digits as its factorization.

13233330400249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 13233330400249 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirty million, four hundred thousand, two hundred forty-nine".