131331040400 has 60 divisors (see below), whose sum is σ = 360597521472. Its totient is φ = 45027784320.

The previous prime is 131331040333. The next prime is 131331040409. The reversal of 131331040400 is 4040133131.

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

It is not an unprimeable number, because it can be changed into a prime (131331040409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23449172 + ... + 23454771.

Almost surely, 2^131331040400 is an apocalyptic number.

131331040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331040400 is an abundant number, since it is smaller than the sum of its proper divisors (229266481072).

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

131331040400 is a wasteful number, since it uses less digits than its factorization.

131331040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46903968 (or 46903957 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131331040400 its reverse (4040133131), we get a palindrome (135371173531).

The spelling of 131331040400 in words is "one hundred thirty-one billion, three hundred thirty-one million, forty thousand, four hundred".