1233133213 has 16 divisors (see below), whose sum is σ = 1337168560. Its totient is φ = 1130443776.

The previous prime is 1233133141. The next prime is 1233133229. The reversal of 1233133213 is 3123313321.

It can be written as a sum of positive squares in 8 ways, for example, as 217946169 + 1015187044 = 14763^2 + 31862^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233133213 - 2⁹ = 1233132701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233133513) 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, 1738903 + ... + 1739611.

It is an arithmetic number, because the mean of its divisors is an integer number (83573035).

Almost surely, 2^1233133213 is an apocalyptic number.

1233133213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1233133213 is a deficient number, since it is larger than the sum of its proper divisors (104035347).

1233133213 is a wasteful number, since it uses less digits than its factorization.

1233133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456.

The product of its digits is 972, while the sum is 22.

The square root of 1233133213 is about 35115.9965400386. The cubic root of 1233133213 is about 1072.3502689419.

Adding to 1233133213 its reverse (3123313321), we get a palindrome (4356446534).

It can be divided in two parts, 123313321 and 3, that multiplied together give a palindrome (369939963).

The spelling of 1233133213 in words is "one billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred thirteen".