31311011322313 has 8 divisors (see below), whose sum is σ = 32396231798280. Its totient is φ = 30226159541760.

The previous prime is 31311011322307. The next prime is 31311011322323. The reversal of 31311011322313 is 31322311011313.

It can be written as a sum of positive squares in 4 ways, for example, as 9628875859849 + 21682135462464 = 3103043^2 + 4656408^2 .

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 31311011322313 - 2⁹ = 31311011321801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31311011322323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92001058 + ... + 92340763.

It is an arithmetic number, because the mean of its divisors is an integer number (4049528974785).

Almost surely, 2^{31311011322313} is an apocalyptic number.

It is an amenable number.

31311011322313 is a deficient number, since it is larger than the sum of its proper divisors (1085220475967).

31311011322313 is a wasteful number, since it uses less digits than its factorization.

31311011322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184347707.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 31311011322313 its reverse (31322311011313), we get a palindrome (62633322333626).

The spelling of 31311011322313 in words is "thirty-one trillion, three hundred eleven billion, eleven million, three hundred twenty-two thousand, three hundred thirteen".