10311344311301 has 6 divisors (see below), whose sum is σ = 11333956970406. Its totient is φ = 9373949373800.

The previous prime is 10311344311297. The next prime is 10311344311349.

10311344311301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8672877750625 + 1638466560676 = 2944975^2 + 1280026^2 .

It is not a de Polignac number, because 10311344311301 - 2² = 10311344311297 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 (10311344311351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42608860670 + ... + 42608860911.

It is an arithmetic number, because the mean of its divisors is an integer number (1888992828401).

Almost surely, 2^{10311344311301} is an apocalyptic number.

10311344311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311344311301 is a deficient number, since it is larger than the sum of its proper divisors (1022612659105).

10311344311301 is an equidigital number, since it uses as much as digits as its factorization.

10311344311301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85217721603 (or 85217721592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 1031134 and 4311301, that added together give a palindrome (5342435).

The spelling of 10311344311301 in words is "ten trillion, three hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, three hundred one".