100131193 has 2 divisors, whose sum is σ = 100131194. Its totient is φ = 100131192.

The previous prime is 100131181. The next prime is 100131211. The reversal of 100131193 is 391131001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60793209 + 39337984 = 7797^2 + 6272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100131193.

It is not a weakly prime, because it can be changed into another prime (100101193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065596 + 50065597.

It is an arithmetic number, because the mean of its divisors is an integer number (50065597).

Almost surely, 2^100131193 is an apocalyptic number.

It is an amenable number.

100131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131193 is an equidigital number, since it uses as much as digits as its factorization.

100131193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 100131193 is about 10006.5574999597. The cubic root of 100131193 is about 464.3617759814.

Adding to 100131193 its reverse (391131001), we get a palindrome (491262194).

The spelling of 100131193 in words is "one hundred million, one hundred thirty-one thousand, one hundred ninety-three".