10121314320 has 120 divisors (see below), whose sum is σ = 36605453976. Its totient is φ = 2491398144.

The previous prime is 10121314319. The next prime is 10121314351. The reversal of 10121314320 is 2341312101.

10121314320 is a `hidden beast` number, since 10 + 1 + 21 + 314 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1152466704 + 8968847616 = 33948^2 + 94704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10121314293 and 10121314302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531309 + ... + 550028.

Almost surely, 2^10121314320 is an apocalyptic number.

10121314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121314320 is an abundant number, since it is smaller than the sum of its proper divisors (26484139656).

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

10121314320 is a wasteful number, since it uses less digits than its factorization.

10121314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081369 (or 1081360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121314320 its reverse (2341312101), we get a palindrome (12462626421).

The spelling of 10121314320 in words is "ten billion, one hundred twenty-one million, three hundred fourteen thousand, three hundred twenty".