131071868928 has 1152 divisors, whose sum is σ = 535526691840. Its totient is φ = 30576476160.

The previous prime is 131071868911. The next prime is 131071868989. The reversal of 131071868928 is 829868170131.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 3542482926 + ... + 3542482962.

It is an arithmetic number, because the mean of its divisors is an integer number (464866920).

Almost surely, 2^131071868928 is an apocalyptic number.

131071868928 is a gapful number since it is divisible by the number (18) 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 131071868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267763345920).

131071868928 is an abundant number, since it is smaller than the sum of its proper divisors (404454822912).

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

131071868928 is an equidigital number, since it uses as much as digits as its factorization.

131071868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

It can be divided in two parts, 131071 and 868928, that added together give a palindrome (999999).

The spelling of 131071868928 in words is "one hundred thirty-one billion, seventy-one million, eight hundred sixty-eight thousand, nine hundred twenty-eight".