34221105131130 has 64 divisors (see below), whose sum is σ = 94403048659200. Its totient is φ = 8810951204160.

The previous prime is 34221105131107. The next prime is 34221105131137. The reversal of 34221105131130 is 3113150112243.

34221105131130 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 1 + 10 + 513 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34221105131094 and 34221105131103.

It is not an unprimeable number, because it can be changed into a prime (34221105131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185247926 + ... + 2185263585.

It is an arithmetic number, because the mean of its divisors is an integer number (1475047635300).

Almost surely, 2^{34221105131130} is an apocalyptic number.

34221105131130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34221105131130 is an abundant number, since it is smaller than the sum of its proper divisors (60181943528070).

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

34221105131130 is a wasteful number, since it uses less digits than its factorization.

34221105131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370511556 (or 4370511550 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 34221105131130 its reverse (3113150112243), we get a palindrome (37334255243373).

The spelling of 34221105131130 in words is "thirty-four trillion, two hundred twenty-one billion, one hundred five million, one hundred thirty-one thousand, one hundred thirty".