130369107545088 has 704 divisors, whose sum is σ = 391130913438720. Its totient is φ = 38404148428800.

The previous prime is 130369107545041. The next prime is 130369107545119. The reversal of 130369107545088 is 880545701963031.

130369107545088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130369107545088² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 20553222045 + ... + 20553228387.

Almost surely, 2^{130369107545088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130369107545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195565456719360).

130369107545088 is an abundant number, since it is smaller than the sum of its proper divisors (260761805893632).

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

130369107545088 is a wasteful number, since it uses less digits than its factorization.

130369107545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 130369107545088 in words is "one hundred thirty trillion, three hundred sixty-nine billion, one hundred seven million, five hundred forty-five thousand, eighty-eight".