10311100111301 has 16 divisors (see below), whose sum is σ = 11407938092928. Its totient is φ = 9240863654400.

The previous prime is 10311100111283. The next prime is 10311100111331.

10311100111301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10311100111301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311100111331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8085245 + ... + 9273261.

It is an arithmetic number, because the mean of its divisors is an integer number (712996130808).

Almost surely, 2^{10311100111301} is an apocalyptic number.

10311100111301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311100111301 is a deficient number, since it is larger than the sum of its proper divisors (1096837981627).

10311100111301 is a wasteful number, since it uses less digits than its factorization.

10311100111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199212.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 10311100 and 111301, that added together give a palindrome (10422401).

The spelling of 10311100111301 in words is "ten trillion, three hundred eleven billion, one hundred million, one hundred eleven thousand, three hundred one".