10001301012137 has 2 divisors, whose sum is σ = 10001301012138. Its totient is φ = 10001301012136.

The previous prime is 10001301012121. The next prime is 10001301012149. The reversal of 10001301012137 is 73121010310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9078988554496 + 922312457641 = 3013136^2 + 960371^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001301012137 - 2⁴ = 10001301012121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001301012167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000650506068 + 5000650506069.

It is an arithmetic number, because the mean of its divisors is an integer number (5000650506069).

Almost surely, 2^{10001301012137} is an apocalyptic number.

It is an amenable number.

10001301012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001301012137 is an equidigital number, since it uses as much as digits as its factorization.

10001301012137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 10001301012137 its reverse (73121010310001), we get a palindrome (83122311322138).

The spelling of 10001301012137 in words is "ten trillion, one billion, three hundred one million, twelve thousand, one hundred thirty-seven".