31122100313 has 8 divisors (see below), whose sum is σ = 31224906240. Its totient is φ = 31019440320.

The previous prime is 31122100249. The next prime is 31122100333. The reversal of 31122100313 is 31300122113.

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 31122100313 - 2⁶ = 31122100249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31122100291 and 31122100300.

It is not an unprimeable number, because it can be changed into a prime (31122100333) 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 in 7 ways as a sum of consecutive naturals, for example, 399281 + ... + 470817.

It is an arithmetic number, because the mean of its divisors is an integer number (3903113280).

Almost surely, 2^31122100313 is an apocalyptic number.

It is an amenable number.

31122100313 is a deficient number, since it is larger than the sum of its proper divisors (102805927).

31122100313 is an equidigital number, since it uses as much as digits as its factorization.

31122100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72967.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31122100313 its reverse (31300122113), we get a palindrome (62422222426).

The spelling of 31122100313 in words is "thirty-one billion, one hundred twenty-two million, one hundred thousand, three hundred thirteen".