1000133221313 has 8 divisors (see below), whose sum is σ = 1003342742208. Its totient is φ = 996924043984.

The previous prime is 1000133221279. The next prime is 1000133221357. The reversal of 1000133221313 is 3131223310001.

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 1000133221313 - 2¹⁴ = 1000133204929 is a prime.

It is a super-3 number, since 3×1000133221313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000133221363) 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, 6570020 + ... + 6720522.

It is an arithmetic number, because the mean of its divisors is an integer number (125417842776).

Almost surely, 2^{1000133221313} is an apocalyptic number.

It is an amenable number.

1000133221313 is a deficient number, since it is larger than the sum of its proper divisors (3209520895).

1000133221313 is a wasteful number, since it uses less digits than its factorization.

1000133221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171783.

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

Adding to 1000133221313 its reverse (3131223310001), we get a palindrome (4131356531314).

The spelling of 1000133221313 in words is "one trillion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred thirteen".