1001301010313 has 2 divisors, whose sum is σ = 1001301010314. Its totient is φ = 1001301010312.

The previous prime is 1001301010277. The next prime is 1001301010319. The reversal of 1001301010313 is 3130101031001.

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., 916915408249 + 84385602064 = 957557^2 + 290492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001301010313 - 2¹² = 1001301006217 is a prime.

It is a super-3 number, since 3×1001301010313³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1001301010319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500650505156 + 500650505157.

It is an arithmetic number, because the mean of its divisors is an integer number (500650505157).

Almost surely, 2^{1001301010313} is an apocalyptic number.

It is an amenable number.

1001301010313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001301010313 is an equidigital number, since it uses as much as digits as its factorization.

1001301010313 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 1001301010313 its reverse (3130101031001), we get a palindrome (4131402041314).

The spelling of 1001301010313 in words is "one trillion, one billion, three hundred one million, ten thousand, three hundred thirteen".