131431040100 has 144 divisors (see below), whose sum is σ = 423538516800. Its totient is φ = 34964328960.

The previous prime is 131431040087. The next prime is 131431040107. The reversal of 131431040100 is 1040134131.

131431040100 is a `hidden beast` number, since 1 + 314 + 310 + 40 + 1 + 0 + 0 = 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 (131431040107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073212 + ... + 1189388.

It is an arithmetic number, because the mean of its divisors is an integer number (2941239700).

Almost surely, 2^131431040100 is an apocalyptic number.

131431040100 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 131431040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211769258400).

131431040100 is an abundant number, since it is smaller than the sum of its proper divisors (292107476700).

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

131431040100 is a wasteful number, since it uses less digits than its factorization.

131431040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116619 (or 116606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131431040100 its reverse (1040134131), we get a palindrome (132471174231).

The spelling of 131431040100 in words is "one hundred thirty-one billion, four hundred thirty-one million, forty thousand, one hundred".