131131120100 has 162 divisors, whose sum is σ = 319049716230. Its totient is φ = 46765025280.

The previous prime is 131131120051. The next prime is 131131120121. The reversal of 131131120100 is 1021131131.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1549839424 + 129581280676 = 39368^2 + 359974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10426616 + ... + 10439184.

Almost surely, 2^131131120100 is an apocalyptic number.

131131120100 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 131131120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159524858115).

131131120100 is an abundant number, since it is smaller than the sum of its proper divisors (187918596130).

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

131131120100 is a wasteful number, since it uses less digits than its factorization.

131131120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12655 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131131120100 its reverse (1021131131), we get a palindrome (132152251231).

The spelling of 131131120100 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred twenty thousand, one hundred".