110000101131001 has 2 divisors, whose sum is σ = 110000101131002. Its totient is φ = 110000101131000.

The previous prime is 110000101130923. The next prime is 110000101131047. The reversal of 110000101131001 is 100131101000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97872636163600 + 12127464967401 = 9893060^2 + 3482451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000101131001 is a prime.

It is not a weakly prime, because it can be changed into another prime (110000102131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000050565500 + 55000050565501.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050565501).

Almost surely, 2^{110000101131001} is an apocalyptic number.

It is an amenable number.

110000101131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000101131001 is an equidigital number, since it uses as much as digits as its factorization.

110000101131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 110000101131001 its reverse (100131101000011), we get a palindrome (210131202131012).

The spelling of 110000101131001 in words is "one hundred ten trillion, one hundred one million, one hundred thirty-one thousand, one".