1311113100 has 144 divisors (see below), whose sum is σ = 4381969536. Its totient is φ = 299136000.

The previous prime is 1311113071. The next prime is 1311113119. The reversal of 1311113100 is 13111131.

It is a super-2 number, since 2×1311113100² = 3438035121983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44415 + ... + 67785.

It is an arithmetic number, because the mean of its divisors is an integer number (30430344).

Almost surely, 2^1311113100 is an apocalyptic number.

1311113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190984768).

1311113100 is an abundant number, since it is smaller than the sum of its proper divisors (3070856436).

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

1311113100 is a wasteful number, since it uses less digits than its factorization.

1311113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23416 (or 23409 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1311113100 is about 36209.2957677997. The cubic root of 1311113100 is about 1094.4940011134.

Adding to 1311113100 its reverse (13111131), we get a palindrome (1324224231).

1311113100 divided by its reverse (13111131) gives a square (100 = 10²).

It can be divided in two parts, 1311 and 113100, that added together give a palindrome (114411).

The spelling of 1311113100 in words is "one billion, three hundred eleven million, one hundred thirteen thousand, one hundred".