131143440302400 has 168 divisors, whose sum is σ = 448966717308864. Its totient is φ = 33451080396800.

The previous prime is 131143440302327. The next prime is 131143440302401. The reversal of 131143440302400 is 4203044341131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143440302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593836341 + ... + 594057140.

Almost surely, 2^{131143440302400} is an apocalyptic number.

131143440302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131143440302400 is an abundant number, since it is smaller than the sum of its proper divisors (317823277006464).

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

131143440302400 is a wasteful number, since it uses less digits than its factorization.

131143440302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187893529 (or 1187893514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131143440302400 its reverse (4203044341131), we get a palindrome (135346484643531).

The spelling of 131143440302400 in words is "one hundred thirty-one trillion, one hundred forty-three billion, four hundred forty million, three hundred two thousand, four hundred".