100113997 has 2 divisors, whose sum is σ = 100113998. Its totient is φ = 100113996.

The previous prime is 100113967. The next prime is 100114067. The reversal of 100113997 is 799311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81974916 + 18139081 = 9054^2 + 4259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056998 + 50056999.

It is an arithmetic number, because the mean of its divisors is an integer number (50056999).

Almost surely, 2^100113997 is an apocalyptic number.

It is an amenable number.

100113997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113997 is an equidigital number, since it uses as much as digits as its factorization.

100113997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 31.

The square root of 100113997 is about 10005.6982265107. The cubic root of 100113997 is about 464.3351921168.

Adding to 100113997 its reverse (799311001), we get a palindrome (899424998).

The spelling of 100113997 in words is "one hundred million, one hundred thirteen thousand, nine hundred ninety-seven".