130034441000 has 128 divisors (see below), whose sum is σ = 309329280000. Its totient is φ = 51154432000.

The previous prime is 130034440973. The next prime is 130034441087. The reversal of 130034441000 is 144430031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31876961 + ... + 31881039.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635000).

Almost surely, 2^130034441000 is an apocalyptic number.

130034441000 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 130034441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640000).

130034441000 is an abundant number, since it is smaller than the sum of its proper divisors (179294839000).

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

130034441000 is a wasteful number, since it uses less digits than its factorization.

130034441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130034441000 its reverse (144430031), we get a palindrome (130178871031).

The spelling of 130034441000 in words is "one hundred thirty billion, thirty-four million, four hundred forty-one thousand".