131003855579520 has 3072 divisors, whose sum is σ = 591231547146240. Its totient is φ = 25947325071360.

The previous prime is 131003855579507. The next prime is 131003855579539. The reversal of 131003855579520 is 25975558300131.

131003855579520 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 3 + 85 + 557 + 9 + 5 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135474514077 + ... + 135474515043.

It is an arithmetic number, because the mean of its divisors is an integer number (192458185920).

Almost surely, 2^{131003855579520} is an apocalyptic number.

131003855579520 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 131003855579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295615773573120).

131003855579520 is an abundant number, since it is smaller than the sum of its proper divisors (460227691566720).

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

131003855579520 is a wasteful number, since it uses less digits than its factorization.

131003855579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 131003855579520 in words is "one hundred thirty-one trillion, three billion, eight hundred fifty-five million, five hundred seventy-nine thousand, five hundred twenty".