130978020096 has 648 divisors, whose sum is σ = 486260584992. Its totient is φ = 33170227200.

The previous prime is 130978020091. The next prime is 130978020101. The reversal of 130978020096 is 690020879031.

It is an interprime number because it is at equal distance from previous prime (130978020091) and next prime (130978020101).

It is not an unprimeable number, because it can be changed into a prime (130978020091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80010190 + ... + 80011826.

Almost surely, 2^130978020096 is an apocalyptic number.

130978020096 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 130978020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243130292496).

130978020096 is an abundant number, since it is smaller than the sum of its proper divisors (355282564896).

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

130978020096 is a wasteful number, since it uses less digits than its factorization.

130978020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 130978020096 in words is "one hundred thirty billion, nine hundred seventy-eight million, twenty thousand, ninety-six".