1000100311312 has 20 divisors (see below), whose sum is σ = 1941897609036. Its totient is φ = 498965444480.

The previous prime is 1000100311307. The next prime is 1000100311319. The reversal of 1000100311312 is 2131130010001.

1000100311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 147920236816 + 852180074496 = 384604^2 + 923136^2 .

It is a super-2 number, since 2×1000100311312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000100311292 and 1000100311301.

It is not an unprimeable number, because it can be changed into a prime (1000100311319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67786843 + ... + 67801594.

Almost surely, 2^{1000100311312} is an apocalyptic number.

It is an amenable number.

1000100311312 is a deficient number, since it is larger than the sum of its proper divisors (941797297724).

1000100311312 is a wasteful number, since it uses less digits than its factorization.

1000100311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135588906 (or 135588900 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1000100311312 its reverse (2131130010001), we get a palindrome (3131230321313).

The spelling of 1000100311312 in words is "one trillion, one hundred million, three hundred eleven thousand, three hundred twelve".