10130301321120 has 72 divisors (see below), whose sum is σ = 34569653263236. Its totient is φ = 2701413685248.

The previous prime is 10130301321103. The next prime is 10130301321143. The reversal of 10130301321120 is 2112310303101.

10130301321120 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 301 + 321 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10129120986384 + 1180334736 = 3182628^2 + 34356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130301321093 and 10130301321102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3517464297 + ... + 3517467176.

Almost surely, 2^{10130301321120} is an apocalyptic number.

10130301321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130301321120 is an abundant number, since it is smaller than the sum of its proper divisors (24439351942116).

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

10130301321120 is a wasteful number, since it uses less digits than its factorization.

10130301321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034931494 (or 7034931483 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10130301321120 its reverse (2112310303101), we get a palindrome (12242611624221).

The spelling of 10130301321120 in words is "ten trillion, one hundred thirty billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty".