10133131313 has 2 divisors, whose sum is σ = 10133131314. Its totient is φ = 10133131312.

The previous prime is 10133131301. The next prime is 10133131381. The reversal of 10133131313 is 31313133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5567696689 + 4565434624 = 74617^2 + 67568^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133131313 - 2¹⁶ = 10133065777 is a prime.

It is a super-2 number, since 2×10133131313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10133134313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066565656 + 5066565657.

It is an arithmetic number, because the mean of its divisors is an integer number (5066565657).

Almost surely, 2^10133131313 is an apocalyptic number.

It is an amenable number.

10133131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133131313 is an equidigital number, since it uses as much as digits as its factorization.

10133131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10133131313 its reverse (31313133101), we get a palindrome (41446264414).

The spelling of 10133131313 in words is "ten billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".