10312213113 has 28 divisors (see below), whose sum is σ = 15838396308. Its totient is φ = 6707111040.

The previous prime is 10312213081. The next prime is 10312213117. The reversal of 10312213113 is 31131221301.

It can be written as a sum of positive squares in 2 ways, for example, as 525463929 + 9786749184 = 22923^2 + 98928^2 .

It is not a de Polignac number, because 10312213113 - 2⁵ = 10312213081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10312213117) 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 27 ways as a sum of consecutive naturals, for example, 142620 + ... + 202397.

It is an arithmetic number, because the mean of its divisors is an integer number (565657011).

Almost surely, 2^10312213113 is an apocalyptic number.

It is an amenable number.

10312213113 is a deficient number, since it is larger than the sum of its proper divisors (5526183195).

10312213113 is an frugal number, since it uses more digits than its factorization.

10312213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345076 (or 345061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10312213113 its reverse (31131221301), we get a palindrome (41443434414).

It can be divided in two parts, 1031 and 2213113, that added together give a square (2214144 = 1488²).

The spelling of 10312213113 in words is "ten billion, three hundred twelve million, two hundred thirteen thousand, one hundred thirteen".