131403310400400 has 240 divisors, whose sum is σ = 421812292761600. Its totient is φ = 34967395975680.

The previous prime is 131403310400387. The next prime is 131403310400407. The reversal of 131403310400400 is 4004013304131.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (131403310400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105852191 + ... + 1105971009.

It is an arithmetic number, because the mean of its divisors is an integer number (1757551219840).

Almost surely, 2^{131403310400400} is an apocalyptic number.

131403310400400 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 131403310400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210906146380800).

131403310400400 is an abundant number, since it is smaller than the sum of its proper divisors (290408982361200).

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

131403310400400 is a wasteful number, since it uses less digits than its factorization.

131403310400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120766 (or 120755 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131403310400400 its reverse (4004013304131), we get a palindrome (135407323704531).

The spelling of 131403310400400 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred ten million, four hundred thousand, four hundred".