1020131000177 has 2 divisors, whose sum is σ = 1020131000178. Its totient is φ = 1020131000176.

The previous prime is 1020131000123. The next prime is 1020131000201. The reversal of 1020131000177 is 7710001310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949925078881 + 70205921296 = 974641^2 + 264964^2 .

It is an emirp because it is prime and its reverse (7710001310201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020131000177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020131200177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065500088 + 510065500089.

It is an arithmetic number, because the mean of its divisors is an integer number (510065500089).

Almost surely, 2^{1020131000177} is an apocalyptic number.

It is an amenable number.

1020131000177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131000177 is an equidigital number, since it uses as much as digits as its factorization.

1020131000177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 23.

Adding to 1020131000177 its reverse (7710001310201), we get a palindrome (8730132310378).

The spelling of 1020131000177 in words is "one trillion, twenty billion, one hundred thirty-one million, one hundred seventy-seven", and thus it is an aban number.