110031313313 has 2 divisors, whose sum is σ = 110031313314. Its totient is φ = 110031313312.

The previous prime is 110031313283. The next prime is 110031313319. The reversal of 110031313313 is 313313130011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67674380449 + 42356932864 = 260143^2 + 205808^2 .

It is a cyclic number.

It is not a de Polignac number, because 110031313313 - 2²⁸ = 109762877857 is a prime.

It is not a weakly prime, because it can be changed into another prime (110031313319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55015656656 + 55015656657.

It is an arithmetic number, because the mean of its divisors is an integer number (55015656657).

Almost surely, 2^110031313313 is an apocalyptic number.

It is an amenable number.

110031313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110031313313 is an equidigital number, since it uses as much as digits as its factorization.

110031313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 110031313313 its reverse (313313130011), we get a palindrome (423344443324).

The spelling of 110031313313 in words is "one hundred ten billion, thirty-one million, three hundred thirteen thousand, three hundred thirteen".