131141341010400 has 576 divisors, whose sum is σ = 497693570572800. Its totient is φ = 29376039813120.

The previous prime is 131141341010341. The next prime is 131141341010501. The reversal of 131141341010400 is 4010143141131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168569511 + ... + 169345689.

It is an arithmetic number, because the mean of its divisors is an integer number (864051337800).

Almost surely, 2^{131141341010400} is an apocalyptic number.

131141341010400 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 131141341010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248846785286400).

131141341010400 is an abundant number, since it is smaller than the sum of its proper divisors (366552229562400).

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

131141341010400 is a wasteful number, since it uses less digits than its factorization.

131141341010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776411 (or 776398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131141341010400 its reverse (4010143141131), we get a palindrome (135151484151531).

The spelling of 131141341010400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-one million, ten thousand, four hundred".