113131131300 has 288 divisors, whose sum is σ = 397749542400. Its totient is φ = 27357264000.

The previous prime is 113131131287. The next prime is 113131131353. The reversal of 113131131300 is 3131131311.

113131131300 is a `hidden beast` number, since 11 + 31 + 311 + 313 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12439755 + ... + 12448845.

It is an arithmetic number, because the mean of its divisors is an integer number (1381074800).

Almost surely, 2^113131131300 is an apocalyptic number.

113131131300 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 113131131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198874771200).

113131131300 is an abundant number, since it is smaller than the sum of its proper divisors (284618411100).

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

113131131300 is a wasteful number, since it uses less digits than its factorization.

113131131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113131131300 its reverse (3131131311), we get a palindrome (116262262611).

It can be divided in two parts, 1131311 and 31300, that added together give a palindrome (1162611).

The spelling of 113131131300 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred".