10133013222313 has 8 divisors (see below), whose sum is σ = 10147665625160. Its totient is φ = 10118361836160.

The previous prime is 10133013222301. The next prime is 10133013222337. The reversal of 10133013222313 is 31322231033101.

It can be written as a sum of positive squares in 4 ways, for example, as 1793786098329 + 8339227123984 = 1339323^2 + 2887772^2 .

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 10133013222313 - 2⁵ = 10133013222281 is a prime.

It is a super-2 number, since 2×10133013222313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133013232313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20972293 + ... + 21450013.

It is an arithmetic number, because the mean of its divisors is an integer number (1268458203145).

Almost surely, 2^{10133013222313} is an apocalyptic number.

It is an amenable number.

10133013222313 is a deficient number, since it is larger than the sum of its proper divisors (14652402847).

10133013222313 is an equidigital number, since it uses as much as digits as its factorization.

10133013222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508347.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10133013222313 its reverse (31322231033101), we get a palindrome (41455244255414).

The spelling of 10133013222313 in words is "ten trillion, one hundred thirty-three billion, thirteen million, two hundred twenty-two thousand, three hundred thirteen".