1121305153033 has 16 divisors (see below), whose sum is σ = 1287790842240. Its totient is φ = 967157150976.

The previous prime is 1121305153027. The next prime is 1121305153127. The reversal of 1121305153033 is 3303515031211.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1121305153033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121305152992 and 1121305153010.

It is not an unprimeable number, because it can be changed into a prime (1121305153733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18220285 + ... + 18281722.

It is an arithmetic number, because the mean of its divisors is an integer number (80486927640).

Almost surely, 2^{1121305153033} is an apocalyptic number.

1121305153033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1121305153033 is a deficient number, since it is larger than the sum of its proper divisors (166485689207).

1121305153033 is a wasteful number, since it uses less digits than its factorization.

1121305153033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36502176.

The product of its (nonzero) digits is 4050, while the sum is 28.

The spelling of 1121305153033 in words is "one trillion, one hundred twenty-one billion, three hundred five million, one hundred fifty-three thousand, thirty-three".