131141324000400 has 120 divisors (see below), whose sum is σ = 480102142371264. Its totient is φ = 29975159769600.

The previous prime is 131141324000389. The next prime is 131141324000473. The reversal of 131141324000400 is 4000423141131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 7806022791 + ... + 7806039590.

Almost surely, 2^{131141324000400} is an apocalyptic number.

131141324000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324000400 is an abundant number, since it is smaller than the sum of its proper divisors (348960818370864).

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

131141324000400 is a wasteful number, since it uses less digits than its factorization.

131141324000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15612062409 (or 15612062398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131141324000400 its reverse (4000423141131), we get a palindrome (135141747141531).

The spelling of 131141324000400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, four hundred", and thus it is an aban number.