131034300320400 has 360 divisors, whose sum is σ = 430360261094112. Its totient is φ = 34080218112000.

The previous prime is 131034300320353. The next prime is 131034300320461. The reversal of 131034300320400 is 4023003430131.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8958377887 + ... + 8958392513.

Almost surely, 2^{131034300320400} is an apocalyptic number.

131034300320400 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 131034300320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215180130547056).

131034300320400 is an abundant number, since it is smaller than the sum of its proper divisors (299325960773712).

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

131034300320400 is a wasteful number, since it uses less digits than its factorization.

131034300320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19171 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131034300320400 its reverse (4023003430131), we get a palindrome (135057303750531).

The spelling of 131034300320400 in words is "one hundred thirty-one trillion, thirty-four billion, three hundred million, three hundred twenty thousand, four hundred".