101001000001301 has 2 divisors, whose sum is σ = 101001000001302. Its totient is φ = 101001000001300.

The previous prime is 101001000001249. The next prime is 101001000001313. The reversal of 101001000001301 is 103100000100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61016813878276 + 39984186123025 = 7811326^2 + 6323305^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000001301 - 2²⁶ = 101000932892437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000001331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500000650 + 50500500000651.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500000651).

Almost surely, 2^{101001000001301} is an apocalyptic number.

It is an amenable number.

101001000001301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000001301 is an equidigital number, since it uses as much as digits as its factorization.

101001000001301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101001000001301 its reverse (103100000100101), we get a palindrome (204101000101402).

The spelling of 101001000001301 in words is "one hundred one trillion, one billion, one thousand, three hundred one".