103333131131233 has 2 divisors, whose sum is σ = 103333131131234. Its totient is φ = 103333131131232.

The previous prime is 103333131131183. The next prime is 103333131131261. The reversal of 103333131131233 is 332131131333301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101457129743649 + 1876001387584 = 10072593^2 + 1369672^2 .

It is a cyclic number.

It is not a de Polignac number, because 103333131131233 - 2⁴⁵ = 68148759042401 is a prime.

It is a super-5 number, since 5×103333131131233⁵ (a number of 71 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103333131131195 and 103333131131204.

It is not a weakly prime, because it can be changed into another prime (103333131131033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666565565616 + 51666565565617.

It is an arithmetic number, because the mean of its divisors is an integer number (51666565565617).

Almost surely, 2^{103333131131233} is an apocalyptic number.

It is an amenable number.

103333131131233 is a deficient number, since it is larger than the sum of its proper divisors (1).

103333131131233 is an equidigital number, since it uses as much as digits as its factorization.

103333131131233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 103333131131233 its reverse (332131131333301), we get a palindrome (435464262464534).

The spelling of 103333131131233 in words is "one hundred three trillion, three hundred thirty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred thirty-three".