1233113321 has 16 divisors (see below), whose sum is σ = 1408397760. Its totient is φ = 1069293120.

The previous prime is 1233113293. The next prime is 1233113327.

1233113321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1233113321 - 2¹⁴ = 1233096937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1233113293 and 1233113302.

It is not an unprimeable number, because it can be changed into a prime (1233113327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3191 + ... + 49763.

It is an arithmetic number, because the mean of its divisors is an integer number (88024860).

Almost surely, 2^1233113321 is an apocalyptic number.

1233113321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1233113321 is a deficient number, since it is larger than the sum of its proper divisors (175284439).

1233113321 is a wasteful number, since it uses less digits than its factorization.

1233113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46696.

The product of its digits is 324, while the sum is 20.

The square root of 1233113321 is about 35115.7133061540. The cubic root of 1233113321 is about 1072.3445027884.

It can be divided in two parts, 12331 and 13321, that added together give a palindrome (25652).

The spelling of 1233113321 in words is "one billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred twenty-one".