13120103333333 has 2 divisors, whose sum is σ = 13120103333334. Its totient is φ = 13120103333332.

The previous prime is 13120103333329. The next prime is 13120103333369. The reversal of 13120103333333 is 33333330102131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8763269519524 + 4356833813809 = 2960282^2 + 2087303^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120103333333 - 2² = 13120103333329 is a prime.

It is a super-2 number, since 2×13120103333333² (a number of 27 digits) contains 22 as substring.

13120103333333 is a modest number, since divided by 3333333 gives 1312010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13120103333296 and 13120103333305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13120103338333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560051666666 + 6560051666667.

It is an arithmetic number, because the mean of its divisors is an integer number (6560051666667).

Almost surely, 2^{13120103333333} is an apocalyptic number.

It is an amenable number.

13120103333333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120103333333 is an equidigital number, since it uses as much as digits as its factorization.

13120103333333 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 29.

Adding to 13120103333333 its reverse (33333330102131), we get a palindrome (46453433435464).

The spelling of 13120103333333 in words is "thirteen trillion, one hundred twenty billion, one hundred three million, three hundred thirty-three thousand, three hundred thirty-three".