1300111312 has 80 divisors (see below), whose sum is σ = 2771353872. Its totient is φ = 588349440.

The previous prime is 1300111303. The next prime is 1300111369. The reversal of 1300111312 is 2131110031.

It can be written as a sum of positive squares in 8 ways, for example, as 86564416 + 1213546896 = 9304^2 + 34836^2 .

It is a super-2 number, since 2×1300111312² = 3380578847180722688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300111292 and 1300111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813298 + ... + 814894.

Almost surely, 2^1300111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385676936).

1300111312 is an abundant number, since it is smaller than the sum of its proper divisors (1471242560).

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

1300111312 is a wasteful number, since it uses less digits than its factorization.

1300111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

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

The square root of 1300111312 is about 36057.0563413044. The cubic root of 1300111312 is about 1091.4240322040.

Adding to 1300111312 its reverse (2131110031), we get a palindrome (3431221343).

The spelling of 1300111312 in words is "one billion, three hundred million, one hundred eleven thousand, three hundred twelve".