1000001131313 has 2 divisors, whose sum is σ = 1000001131314. Its totient is φ = 1000001131312.

The previous prime is 1000001131169. The next prime is 1000001131373. The reversal of 1000001131313 is 3131311000001.

It is a happy number.

1000001131313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 955500385009 + 44500746304 = 977497^2 + 210952^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000001131313 - 2³⁸ = 725123224369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000001131373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000565656 + 500000565657.

It is an arithmetic number, because the mean of its divisors is an integer number (500000565657).

Almost surely, 2^{1000001131313} is an apocalyptic number.

It is an amenable number.

1000001131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001131313 is an equidigital number, since it uses as much as digits as its factorization.

1000001131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1000001131313 its reverse (3131311000001), we get a palindrome (4131312131314).

The spelling of 1000001131313 in words is "one trillion, one million, one hundred thirty-one thousand, three hundred thirteen".