10133212011313 has 8 divisors (see below), whose sum is σ = 10140972380136. Its totient is φ = 10125452198400.

The previous prime is 10133212011301. The next prime is 10133212011323. The reversal of 10133212011313 is 31311021233101.

It can be written as a sum of positive squares in 4 ways, for example, as 7442076752289 + 2691135259024 = 2728017^2 + 1640468^2 .

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 10133212011313 - 2³⁷ = 9995773057841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133212011323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40958203 + ... + 41204863.

It is an arithmetic number, because the mean of its divisors is an integer number (1267621547517).

Almost surely, 2^{10133212011313} is an apocalyptic number.

It is an amenable number.

10133212011313 is a deficient number, since it is larger than the sum of its proper divisors (7760368823).

10133212011313 is a wasteful number, since it uses less digits than its factorization.

10133212011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277955.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10133212011313 its reverse (31311021233101), we get a palindrome (41444233244414).

The spelling of 10133212011313 in words is "ten trillion, one hundred thirty-three billion, two hundred twelve million, eleven thousand, three hundred thirteen".