10311311103101 has 8 divisors (see below), whose sum is σ = 10315398951000. Its totient is φ = 10307223505728.

The previous prime is 10311311103097. The next prime is 10311311103169. The reversal of 10311311103101 is 10130111311301.

It can be written as a sum of positive squares in 4 ways, for example, as 307690980601 + 10003620122500 = 554699^2 + 3162850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10311311103101 - 2² = 10311311103097 is a prime.

It is a super-2 number, since 2×10311311103101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311311103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311311103901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165010475 + ... + 165072951.

It is an arithmetic number, because the mean of its divisors is an integer number (1289424868875).

Almost surely, 2^{10311311103101} is an apocalyptic number.

It is an amenable number.

10311311103101 is a deficient number, since it is larger than the sum of its proper divisors (4087847899).

10311311103101 is an equidigital number, since it uses as much as digits as its factorization.

10311311103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125263.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10311311103101 its reverse (10130111311301), we get a palindrome (20441422414402).

The spelling of 10311311103101 in words is "ten trillion, three hundred eleven billion, three hundred eleven million, one hundred three thousand, one hundred one".