10001311033120 has 48 divisors (see below), whose sum is σ = 25776106167168. Its totient is φ = 3636840375040.

The previous prime is 10001311033117. The next prime is 10001311033139. The reversal of 10001311033120 is 2133011310001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10001311033094 and 10001311033103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2841279784 + ... + 2841283303.

It is an arithmetic number, because the mean of its divisors is an integer number (537002211816).

Almost surely, 2^{10001311033120} is an apocalyptic number.

10001311033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001311033120 is an abundant number, since it is smaller than the sum of its proper divisors (15774795134048).

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

10001311033120 is a wasteful number, since it uses less digits than its factorization.

10001311033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682563113 (or 5682563105 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10001311033120 its reverse (2133011310001), we get a palindrome (12134322343121).

The spelling of 10001311033120 in words is "ten trillion, one billion, three hundred eleven million, thirty-three thousand, one hundred twenty".