1101310312013 has 8 divisors (see below), whose sum is σ = 1102671775800. Its totient is φ = 1099949443840.

The previous prime is 1101310312001. The next prime is 1101310312087. The reversal of 1101310312013 is 3102130131011.

It can be written as a sum of positive squares in 4 ways, for example, as 452468784964 + 648841527049 = 672658^2 + 805507^2 .

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 1101310312013 - 2³² = 1097015344717 is a prime.

It is a super-2 number, since 2×1101310312013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101310311982 and 1101310312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101310312093) 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, 3609881 + ... + 3903057.

It is an arithmetic number, because the mean of its divisors is an integer number (137833971975).

Almost surely, 2^{1101310312013} is an apocalyptic number.

It is an amenable number.

1101310312013 is a deficient number, since it is larger than the sum of its proper divisors (1361463787).

1101310312013 is a wasteful number, since it uses less digits than its factorization.

1101310312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297807.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1101310312013 its reverse (3102130131011), we get a palindrome (4203440443024).

The spelling of 1101310312013 in words is "one trillion, one hundred one billion, three hundred ten million, three hundred twelve thousand, thirteen".