131033431100 has 288 divisors, whose sum is σ = 351433506816. Its totient is φ = 41726361600.

The previous prime is 131033431099. The next prime is 131033431129. The reversal of 131033431100 is 1134330131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41768732 + ... + 41771868.

It is an arithmetic number, because the mean of its divisors is an integer number (1220255232).

Almost surely, 2^131033431100 is an apocalyptic number.

131033431100 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 131033431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175716753408).

131033431100 is an abundant number, since it is smaller than the sum of its proper divisors (220400075716).

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

131033431100 is a wasteful number, since it uses less digits than its factorization.

131033431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131033431100 its reverse (1134330131), we get a palindrome (132167761231).

The spelling of 131033431100 in words is "one hundred thirty-one billion, thirty-three million, four hundred thirty-one thousand, one hundred".