130938880000 has 300 divisors, whose sum is σ = 344967043960. Its totient is φ = 49545216000.

The previous prime is 130938879991. The next prime is 130938880021. The reversal of 130938880000 is 88839031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194559664 + ... + 194560336.

Almost surely, 2^130938880000 is an apocalyptic number.

130938880000 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 130938880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172483521980).

130938880000 is an abundant number, since it is smaller than the sum of its proper divisors (214028163960).

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

130938880000 is an frugal number, since it uses more digits than its factorization.

130938880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 130938880000 in words is "one hundred thirty billion, nine hundred thirty-eight million, eight hundred eighty thousand".