1110131313313 has 24 divisors (see below), whose sum is σ = 1227723188328. Its totient is φ = 1003017312000.

The previous prime is 1110131313307. The next prime is 1110131313349. The reversal of 1110131313313 is 3133131310111.

It can be written as a sum of positive squares in 4 ways, for example, as 31239855504 + 1078891457809 = 176748^2 + 1038697^2 .

It is not a de Polignac number, because 1110131313313 - 2²⁹ = 1109594442401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1110131323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37676895 + ... + 37706347.

It is an arithmetic number, because the mean of its divisors is an integer number (51155132847).

Almost surely, 2^{1110131313313} is an apocalyptic number.

It is an amenable number.

1110131313313 is a deficient number, since it is larger than the sum of its proper divisors (117591875015).

1110131313313 is a wasteful number, since it uses less digits than its factorization.

1110131313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31377 (or 31366 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1110131313313 its reverse (3133131310111), we get a palindrome (4243262623424).

The spelling of 1110131313313 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirteen".