11303133320953 has 2 divisors, whose sum is σ = 11303133320954. Its totient is φ = 11303133320952.

The previous prime is 11303133320923. The next prime is 11303133321037. The reversal of 11303133320953 is 35902333130311.

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., 8410249401849 + 2892883919104 = 2900043^2 + 1700848^2 .

It is a cyclic number.

It is not a de Polignac number, because 11303133320953 - 2²⁵ = 11303099766521 is a prime.

It is not a weakly prime, because it can be changed into another prime (11303133320903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5651566660476 + 5651566660477.

It is an arithmetic number, because the mean of its divisors is an integer number (5651566660477).

Almost surely, 2^{11303133320953} is an apocalyptic number.

It is an amenable number.

11303133320953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11303133320953 is an equidigital number, since it uses as much as digits as its factorization.

11303133320953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65610, while the sum is 37.

The spelling of 11303133320953 in words is "eleven trillion, three hundred three billion, one hundred thirty-three million, three hundred twenty thousand, nine hundred fifty-three".