1233313041 has 16 divisors (see below), whose sum is σ = 1680758784. Its totient is φ = 804066384.

The previous prime is 1233313031. The next prime is 1233313051. The reversal of 1233313041 is 1403133321.

It is an interprime number because it is at equal distance from previous prime (1233313031) and next prime (1233313051).

It is not a de Polignac number, because 1233313041 - 2¹⁴ = 1233296657 is a prime.

It is a super-3 number, since 3×1233313041³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1233312999 and 1233313017.

It is not an unprimeable number, because it can be changed into a prime (1233313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223866 + ... + 229308.

It is an arithmetic number, because the mean of its divisors is an integer number (105047424).

Almost surely, 2^1233313041 is an apocalyptic number.

It is an amenable number.

1233313041 is a deficient number, since it is larger than the sum of its proper divisors (447445743).

1233313041 is a wasteful number, since it uses less digits than its factorization.

1233313041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1233313041 is about 35118.5569321975. The cubic root of 1233313041 is about 1072.4023934080.

Adding to 1233313041 its reverse (1403133321), we get a palindrome (2636446362).

The spelling of 1233313041 in words is "one billion, two hundred thirty-three million, three hundred thirteen thousand, forty-one".