10001330031101 has 2 divisors, whose sum is σ = 10001330031102. Its totient is φ = 10001330031100.

The previous prime is 10001330031079. The next prime is 10001330031127. The reversal of 10001330031101 is 10113003310001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7712006702500 + 2289323328601 = 2777050^2 + 1513051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001330031101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001330001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000665015550 + 5000665015551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000665015551).

Almost surely, 2^{10001330031101} is an apocalyptic number.

It is an amenable number.

10001330031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001330031101 is an equidigital number, since it uses as much as digits as its factorization.

10001330031101 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 10001330031101 its reverse (10113003310001), we get a palindrome (20114333341102).

The spelling of 10001330031101 in words is "ten trillion, one billion, three hundred thirty million, thirty-one thousand, one hundred one".