103133131818113 has 2 divisors, whose sum is σ = 103133131818114. Its totient is φ = 103133131818112.

The previous prime is 103133131818001. The next prime is 103133131818133. The reversal of 103133131818113 is 311818131331301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86409146105104 + 16723985713009 = 9295652^2 + 4089497^2 .

It is a cyclic number.

It is not a de Polignac number, because 103133131818113 - 2¹⁸ = 103133131555969 is a prime.

It is a super-2 number, since 2×103133131818113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103133131818133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51566565909056 + 51566565909057.

It is an arithmetic number, because the mean of its divisors is an integer number (51566565909057).

Almost surely, 2^{103133131818113} is an apocalyptic number.

It is an amenable number.

103133131818113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103133131818113 is an equidigital number, since it uses as much as digits as its factorization.

103133131818113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 103133131818113 in words is "one hundred three trillion, one hundred thirty-three billion, one hundred thirty-one million, eight hundred eighteen thousand, one hundred thirteen".