131201404310400 has 192 divisors, whose sum is σ = 432153810646320. Its totient is φ = 34986297507840.

The previous prime is 131201404310351. The next prime is 131201404310401. The reversal of 131201404310400 is 4013404102131.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201404310401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566793084 + ... + 567024516.

Almost surely, 2^{131201404310400} is an apocalyptic number.

131201404310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201404310400 is an abundant number, since it is smaller than the sum of its proper divisors (300952406335920).

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

131201404310400 is a wasteful number, since it uses less digits than its factorization.

131201404310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290513 (or 290496 counting only the distinct ones).

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

Adding to 131201404310400 its reverse (4013404102131), we get a palindrome (135214808412531).

The spelling of 131201404310400 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred ten thousand, four hundred".