131433995032704 has 1280 divisors, whose sum is σ = 512865360564480. Its totient is φ = 32424059731968.

The previous prime is 131433995032643. The next prime is 131433995032757. The reversal of 131433995032704 is 407230599334131.

It is a happy number.

131433995032704 is a `hidden beast` number, since 1 + 3 + 1 + 43 + 3 + 99 + 503 + 2 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 2614380112 + ... + 2614430384.

It is an arithmetic number, because the mean of its divisors is an integer number (400676062941).

Almost surely, 2^{131433995032704} is an apocalyptic number.

131433995032704 is a gapful number since it is divisible by the number (14) 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 131433995032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256432680282240).

131433995032704 is an abundant number, since it is smaller than the sum of its proper divisors (381431365531776).

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

131433995032704 is a wasteful number, since it uses less digits than its factorization.

131433995032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50499 (or 50478 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 131433995032704 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, nine hundred ninety-five million, thirty-two thousand, seven hundred four".