10312211311300 has 18 divisors (see below), whose sum is σ = 22377498545738. Its totient is φ = 4124884524480.

The previous prime is 10312211311261. The next prime is 10312211311319. The reversal of 10312211311300 is 311311221301.

10312211311300 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 3 ways, for example, as 1163425418884 + 9148785892416 = 1078622^2 + 3024696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51561056457 + ... + 51561056656.

Almost surely, 2^{10312211311300} is an apocalyptic number.

10312211311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312211311300 is an abundant number, since it is smaller than the sum of its proper divisors (12065287234438).

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

10312211311300 is a wasteful number, since it uses less digits than its factorization.

10312211311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103122113127 (or 103122113120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10312211311300 its reverse (311311221301), we get a palindrome (10623522532601).

The spelling of 10312211311300 in words is "ten trillion, three hundred twelve billion, two hundred eleven million, three hundred eleven thousand, three hundred".