130802661513216 has 3072 divisors, whose sum is σ = 515567130624000. Its totient is φ = 31784246968320.

The previous prime is 130802661513193. The next prime is 130802661513311. The reversal of 130802661513216 is 612315166208031.

130802661513216 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 0 + 2 + 6 + 615 + 1 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 802470315951 + ... + 802470316113.

It is an arithmetic number, because the mean of its divisors is an integer number (167827842000).

Almost surely, 2^{130802661513216} is an apocalyptic number.

130802661513216 is a gapful number since it is divisible by the number (16) 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 130802661513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257783565312000).

130802661513216 is an abundant number, since it is smaller than the sum of its proper divisors (384764469110784).

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

130802661513216 is a wasteful number, since it uses less digits than its factorization.

130802661513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 130802661513216 in words is "one hundred thirty trillion, eight hundred two billion, six hundred sixty-one million, five hundred thirteen thousand, two hundred sixteen".