1130000311314 has 128 divisors (see below), whose sum is σ = 2995494727680. Its totient is φ = 308729532672.

The previous prime is 1130000311313. The next prime is 1130000311373. The reversal of 1130000311314 is 4131130000311.

1130000311314 is a `hidden beast` number, since 11 + 30 + 0 + 0 + 0 + 311 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1130000311313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32959209 + ... + 32993475.

It is an arithmetic number, because the mean of its divisors is an integer number (23402302560).

Almost surely, 2^{1130000311314} is an apocalyptic number.

1130000311314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130000311314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497747363840).

1130000311314 is an abundant number, since it is smaller than the sum of its proper divisors (1865494416366).

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

1130000311314 is a wasteful number, since it uses less digits than its factorization.

1130000311314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38101 (or 38095 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130000311314 its reverse (4131130000311), we get a palindrome (5261130311625).

The spelling of 1130000311314 in words is "one trillion, one hundred thirty billion, three hundred eleven thousand, three hundred fourteen".