10132331103313 has 8 divisors (see below), whose sum is σ = 10134514924776. Its totient is φ = 10130147462400.

The previous prime is 10132331103287. The next prime is 10132331103317. The reversal of 10132331103313 is 31330113323101.

It can be written as a sum of positive squares in 4 ways, for example, as 541838793409 + 9590492309904 = 736097^2 + 3096852^2 .

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 10132331103313 - 2⁵ = 10132331103281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132331103317) 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, 194523433 + ... + 194575513.

It is an arithmetic number, because the mean of its divisors is an integer number (1266814365597).

Almost surely, 2^{10132331103313} is an apocalyptic number.

It is an amenable number.

10132331103313 is a deficient number, since it is larger than the sum of its proper divisors (2183821463).

10132331103313 is an equidigital number, since it uses as much as digits as its factorization.

10132331103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90275.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10132331103313 its reverse (31330113323101), we get a palindrome (41462444426414).

The spelling of 10132331103313 in words is "ten trillion, one hundred thirty-two billion, three hundred thirty-one million, one hundred three thousand, three hundred thirteen".