10311122000000 has 112 divisors (see below), whose sum is σ = 25676786762610. Its totient is φ = 4124448000000.

The previous prime is 10311121999993. The next prime is 10311122000087. The reversal of 10311122000000 is 22111301.

It can be written as a sum of positive squares in 7 ways, for example, as 2566122055744 + 7744999944256 = 1601912^2 + 2782984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 577781 + ... + 4577780.

Almost surely, 2^{10311122000000} is an apocalyptic number.

10311122000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311122000000 is an abundant number, since it is smaller than the sum of its proper divisors (15365664762610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311122000000 is an frugal number, since it uses more digits than its factorization.

10311122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155605 (or 5155568 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10311122000000 its reverse (22111301), we get a palindrome (10311144111301).

The spelling of 10311122000000 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million", and thus it is an aban number.