10131313012321 has 2 divisors, whose sum is σ = 10131313012322. Its totient is φ = 10131313012320.

The previous prime is 10131313012307. The next prime is 10131313012361. The reversal of 10131313012321 is 12321031313101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7766142768400 + 2365170243921 = 2786780^2 + 1537911^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131313012321 - 2⁷ = 10131313012193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131313012292 and 10131313012301.

It is not a weakly prime, because it can be changed into another prime (10131313012361) 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 as a sum of consecutive naturals, namely, 5065656506160 + 5065656506161.

It is an arithmetic number, because the mean of its divisors is an integer number (5065656506161).

Almost surely, 2^{10131313012321} is an apocalyptic number.

It is an amenable number.

10131313012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131313012321 is an equidigital number, since it uses as much as digits as its factorization.

10131313012321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10131313012321 its reverse (12321031313101), we get a palindrome (22452344325422).

The spelling of 10131313012321 in words is "ten trillion, one hundred thirty-one billion, three hundred thirteen million, twelve thousand, three hundred twenty-one".