101101828313 has 2 divisors, whose sum is σ = 101101828314. Its totient is φ = 101101828312.

The previous prime is 101101828279. The next prime is 101101828319. The reversal of 101101828313 is 313828101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89908823104 + 11193005209 = 299848^2 + 105797^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101828313 - 2²⁶ = 101034719449 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101828319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550914156 + 50550914157.

It is an arithmetic number, because the mean of its divisors is an integer number (50550914157).

Almost surely, 2^101101828313 is an apocalyptic number.

It is an amenable number.

101101828313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101828313 is an equidigital number, since it uses as much as digits as its factorization.

101101828313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

Adding to 101101828313 its reverse (313828101101), we get a palindrome (414929929414).

The spelling of 101101828313 in words is "one hundred one billion, one hundred one million, eight hundred twenty-eight thousand, three hundred thirteen".