1010001001313 has 2 divisors, whose sum is σ = 1010001001314. Its totient is φ = 1010001001312.

The previous prime is 1010001001259. The next prime is 1010001001327. The reversal of 1010001001313 is 3131001000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763818317089 + 246182684224 = 873967^2 + 496168^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001001313 - 2⁸ = 1010001001057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010001001294 and 1010001001303.

It is not a weakly prime, because it can be changed into another prime (1010001001343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000500656 + 505000500657.

It is an arithmetic number, because the mean of its divisors is an integer number (505000500657).

Almost surely, 2^{1010001001313} is an apocalyptic number.

It is an amenable number.

1010001001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001001313 is an equidigital number, since it uses as much as digits as its factorization.

1010001001313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1010001001313 its reverse (3131001000101), we get a palindrome (4141002001414).

The spelling of 1010001001313 in words is "one trillion, ten billion, one million, one thousand, three hundred thirteen".