10013311312 has 10 divisors (see below), whose sum is σ = 19400790698. Its totient is φ = 5006655648.

The previous prime is 10013311307. The next prime is 10013311327. The reversal of 10013311312 is 21311331001.

It can be written as a sum of positive squares in only one way, i.e., 6859814976 + 3153496336 = 82824^2 + 56156^2 .

It is a super-2 number, since 2×10013311312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 625831957 = 10013311312 / (1 + 0 + 0 + 1 + 3 + 3 + 1 + 1 + 3 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312915963 + ... + 312915994.

Almost surely, 2^10013311312 is an apocalyptic number.

It is an amenable number.

10013311312 is a deficient number, since it is larger than the sum of its proper divisors (9387479386).

10013311312 is an equidigital number, since it uses as much as digits as its factorization.

10013311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625831965 (or 625831959 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10013311312 its reverse (21311331001), we get a palindrome (31324642313).

The spelling of 10013311312 in words is "ten billion, thirteen million, three hundred eleven thousand, three hundred twelve".