102000131311997 has 2 divisors, whose sum is σ = 102000131311998. Its totient is φ = 102000131311996.

The previous prime is 102000131311993. The next prime is 102000131312039. The reversal of 102000131311997 is 799113131000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55092823382116 + 46907307929881 = 7422454^2 + 6848891^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000131311997 - 2² = 102000131311993 is a prime.

It is a super-2 number, since 2×102000131311997² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102000131311997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000131311993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000065655998 + 51000065655999.

It is an arithmetic number, because the mean of its divisors is an integer number (51000065655999).

Almost surely, 2^{102000131311997} is an apocalyptic number.

It is an amenable number.

102000131311997 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000131311997 is an equidigital number, since it uses as much as digits as its factorization.

102000131311997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 38.

The spelling of 102000131311997 in words is "one hundred two trillion, one hundred thirty-one million, three hundred eleven thousand, nine hundred ninety-seven".