131338741950 has 576 divisors, whose sum is σ = 427797744192. Its totient is φ = 29660774400.

The previous prime is 131338741949. The next prime is 131338741979. The reversal of 131338741950 is 59147833131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131338741896 and 131338741905.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 110090554 + ... + 110091746.

It is an arithmetic number, because the mean of its divisors is an integer number (742704417).

Almost surely, 2^131338741950 is an apocalyptic number.

131338741950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131338741950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213898872096).

131338741950 is an abundant number, since it is smaller than the sum of its proper divisors (296459002242).

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

131338741950 is a wasteful number, since it uses less digits than its factorization.

131338741950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 131338741950 in words is "one hundred thirty-one billion, three hundred thirty-eight million, seven hundred forty-one thousand, nine hundred fifty".