10182120880313 has 2 divisors, whose sum is σ = 10182120880314. Its totient is φ = 10182120880312.

The previous prime is 10182120880307. The next prime is 10182120880319. The reversal of 10182120880313 is 31308802128101.

10182120880313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10182120880307) and next prime (10182120880319).

It can be written as a sum of positive squares in only one way, i.e., 9080561479609 + 1101559400704 = 3013397^2 + 1049552^2 .

It is a cyclic number.

It is not a de Polignac number, because 10182120880313 - 2¹² = 10182120876217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10182120880319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5091060440156 + 5091060440157.

It is an arithmetic number, because the mean of its divisors is an integer number (5091060440157).

Almost surely, 2^{10182120880313} is an apocalyptic number.

It is an amenable number.

10182120880313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10182120880313 is an equidigital number, since it uses as much as digits as its factorization.

10182120880313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 10182120880313 in words is "ten trillion, one hundred eighty-two billion, one hundred twenty million, eight hundred eighty thousand, three hundred thirteen".