10001313321120 has 144 divisors (see below), whose sum is σ = 37232161922592. Its totient is φ = 2424560801280.

The previous prime is 10001313321107. The next prime is 10001313321133. The reversal of 10001313321120 is 2112331310001.

10001313321120 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 313 + 321 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10001313321107) and next prime (10001313321133).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10001313321093 and 10001313321102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315682182 + ... + 315713861.

It is an arithmetic number, because the mean of its divisors is an integer number (258556680018).

Almost surely, 2^{10001313321120} is an apocalyptic number.

10001313321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001313321120 is an abundant number, since it is smaller than the sum of its proper divisors (27230848601472).

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

10001313321120 is a wasteful number, since it uses less digits than its factorization.

10001313321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631396075 (or 631396064 counting only the distinct ones).

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

Adding to 10001313321120 its reverse (2112331310001), we get a palindrome (12113644631121).

The spelling of 10001313321120 in words is "ten trillion, one billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".