100313331193 has 2 divisors, whose sum is σ = 100313331194. Its totient is φ = 100313331192.

The previous prime is 100313331101. The next prime is 100313331203. The reversal of 100313331193 is 391133313001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85967999209 + 14345331984 = 293203^2 + 119772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313331193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100313311193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156665596 + 50156665597.

It is an arithmetic number, because the mean of its divisors is an integer number (50156665597).

Almost surely, 2^100313331193 is an apocalyptic number.

It is an amenable number.

100313331193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313331193 is an equidigital number, since it uses as much as digits as its factorization.

100313331193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 28.

Adding to 100313331193 its reverse (391133313001), we get a palindrome (491446644194).

The spelling of 100313331193 in words is "one hundred billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred ninety-three".