131228348160 has 576 divisors, whose sum is σ = 520065810432. Its totient is φ = 27460435968.

The previous prime is 131228348131. The next prime is 131228348189. The reversal of 131228348160 is 61843822131.

It is an interprime number because it is at equal distance from previous prime (131228348131) and next prime (131228348189).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44377402 + ... + 44380358.

It is an arithmetic number, because the mean of its divisors is an integer number (902892032).

Almost surely, 2^131228348160 is an apocalyptic number.

131228348160 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 131228348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260032905216).

131228348160 is an abundant number, since it is smaller than the sum of its proper divisors (388837462272).

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

131228348160 is a wasteful number, since it uses less digits than its factorization.

131228348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 131228348160 in words is "one hundred thirty-one billion, two hundred twenty-eight million, three hundred forty-eight thousand, one hundred sixty".