7813100101 has 2 divisors, whose sum is σ = 7813100102. Its totient is φ = 7813100100.

The previous prime is 7813100081. The next prime is 7813100107. The reversal of 7813100101 is 1010013187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7532504100 + 280596001 = 86790^2 + 16751^2 .

It is an emirp because it is prime and its reverse (1010013187) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7813100101 is a prime.

It is a super-2 number, since 2×7813100101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7813100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3906550050 + 3906550051.

It is an arithmetic number, because the mean of its divisors is an integer number (3906550051).

Almost surely, 2^7813100101 is an apocalyptic number.

It is an amenable number.

7813100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7813100101 is an equidigital number, since it uses as much as digits as its factorization.

7813100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

The square root of 7813100101 is about 88391.7422670240. The cubic root of 7813100101 is about 1984.3021190439.

Adding to 7813100101 its reverse (1010013187), we get a palindrome (8823113288).

The spelling of 7813100101 in words is "seven billion, eight hundred thirteen million, one hundred thousand, one hundred one".