10111213333313 has 2 divisors, whose sum is σ = 10111213333314. Its totient is φ = 10111213333312.

The previous prime is 10111213333279. The next prime is 10111213333321. The reversal of 10111213333313 is 31333331211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7272989135104 + 2838224198209 = 2696848^2 + 1684703^2 .

It is an emirp because it is prime and its reverse (31333331211101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111213333313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111213333513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055606666656 + 5055606666657.

It is an arithmetic number, because the mean of its divisors is an integer number (5055606666657).

Almost surely, 2^{10111213333313} is an apocalyptic number.

It is an amenable number.

10111213333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111213333313 is an equidigital number, since it uses as much as digits as its factorization.

10111213333313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 10111213333313 its reverse (31333331211101), we get a palindrome (41444544544414).

It can be divided in two parts, 1011121 and 3333313, that added together give a palindrome (4344434).

The spelling of 10111213333313 in words is "ten trillion, one hundred eleven billion, two hundred thirteen million, three hundred thirty-three thousand, three hundred thirteen".