10001013301 has 2 divisors, whose sum is σ = 10001013302. Its totient is φ = 10001013300.

The previous prime is 10001013271. The next prime is 10001013311. The reversal of 10001013301 is 10331010001.

It is an a-pointer prime, because the next prime (10001013311) can be obtained adding 10001013301 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7425958276 + 2575055025 = 86174^2 + 50745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001013301 - 2⁷ = 10001013173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001013311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000506650 + 5000506651.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506651).

Almost surely, 2^10001013301 is an apocalyptic number.

It is an amenable number.

10001013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001013301 is an equidigital number, since it uses as much as digits as its factorization.

10001013301 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 10.

Adding to 10001013301 its reverse (10331010001), we get a palindrome (20332023302).

It can be divided in two parts, 100010 and 13301, that added together give a palindrome (113311).

The spelling of 10001013301 in words is "ten billion, one million, thirteen thousand, three hundred one".