131404012031400 has 384 divisors, whose sum is σ = 415146428928000. Its totient is φ = 34373268034560.

The previous prime is 131404012031359. The next prime is 131404012031431. The reversal of 131404012031400 is 4130210404131.

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

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, 42677495061 + ... + 42677498139.

It is an arithmetic number, because the mean of its divisors is an integer number (1081110492000).

Almost surely, 2^{131404012031400} is an apocalyptic number.

131404012031400 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 131404012031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207573214464000).

131404012031400 is an abundant number, since it is smaller than the sum of its proper divisors (283742416896600).

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

131404012031400 is a wasteful number, since it uses less digits than its factorization.

131404012031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5344 counting only the distinct ones).

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

Adding to 131404012031400 its reverse (4130210404131), we get a palindrome (135534222435531).

The spelling of 131404012031400 in words is "one hundred thirty-one trillion, four hundred four billion, twelve million, thirty-one thousand, four hundred".