103332021233113 has 2 divisors, whose sum is σ = 103332021233114. Its totient is φ = 103332021233112.

The previous prime is 103332021233083. The next prime is 103332021233117. The reversal of 103332021233113 is 311332120233301.

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., 92704603792329 + 10627417440784 = 9628323^2 + 3259972^2 .

It is a cyclic number.

It is not a de Polignac number, because 103332021233113 - 2⁵ = 103332021233081 is a prime.

It is a super-2 number, since 2×103332021233113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103332021233117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666010616556 + 51666010616557.

It is an arithmetic number, because the mean of its divisors is an integer number (51666010616557).

Almost surely, 2^{103332021233113} is an apocalyptic number.

It is an amenable number.

103332021233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103332021233113 is an equidigital number, since it uses as much as digits as its factorization.

103332021233113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103332021233113 its reverse (311332120233301), we get a palindrome (414664141466414).

The spelling of 103332021233113 in words is "one hundred three trillion, three hundred thirty-two billion, twenty-one million, two hundred thirty-three thousand, one hundred thirteen".