1233130313321 has 8 divisors (see below), whose sum is σ = 1261853370624. Its totient is φ = 1204409329200.

The previous prime is 1233130313309. The next prime is 1233130313333.

1233130313321 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1233130313309) and next prime (1233130313333).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1233130313321 - 2³⁰ = 1232056571497 is a prime.

It is a super-2 number, since 2×1233130313321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1233130313351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719171 + ... + 1727271.

It is an arithmetic number, because the mean of its divisors is an integer number (157731671328).

Almost surely, 2^{1233130313321} is an apocalyptic number.

It is an amenable number.

1233130313321 is a deficient number, since it is larger than the sum of its proper divisors (28723057303).

1233130313321 is a wasteful number, since it uses less digits than its factorization.

1233130313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036591.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 1233130 and 313321, that added together give a palindrome (1546451).

The spelling of 1233130313321 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, three hundred twenty-one".