1031132101117 has 2 divisors, whose sum is σ = 1031132101118. Its totient is φ = 1031132101116.

The previous prime is 1031132101093. The next prime is 1031132101213. The reversal of 1031132101117 is 7111012311301.

1031132101117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 570343654521 + 460788446596 = 755211^2 + 678814^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1031132101117 is a prime.

It is a super-2 number, since 2×1031132101117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031132108117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515566050558 + 515566050559.

It is an arithmetic number, because the mean of its divisors is an integer number (515566050559).

Almost surely, 2^{1031132101117} is an apocalyptic number.

It is an amenable number.

1031132101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031132101117 is an equidigital number, since it uses as much as digits as its factorization.

1031132101117 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 22.

Adding to 1031132101117 its reverse (7111012311301), we get a palindrome (8142144412418).

The spelling of 1031132101117 in words is "one trillion, thirty-one billion, one hundred thirty-two million, one hundred one thousand, one hundred seventeen".