10113201113311 has 2 divisors, whose sum is σ = 10113201113312. Its totient is φ = 10113201113310.

The previous prime is 10113201113207. The next prime is 10113201113339. The reversal of 10113201113311 is 11331110231101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10113201113311 - 2¹⁷ = 10113200982239 is a prime.

It is a super-2 number, since 2×10113201113311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113201113341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056600556655 + 5056600556656.

It is an arithmetic number, because the mean of its divisors is an integer number (5056600556656).

Almost surely, 2^{10113201113311} is an apocalyptic number.

10113201113311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113201113311 is an equidigital number, since it uses as much as digits as its factorization.

10113201113311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10113201113311 its reverse (11331110231101), we get a palindrome (21444311344412).

The spelling of 10113201113311 in words is "ten trillion, one hundred thirteen billion, two hundred one million, one hundred thirteen thousand, three hundred eleven".