120001311000011 has 24 divisors (see below), whose sum is σ = 141362002077120. Its totient is φ = 101555088066432.

The previous prime is 120001311000001. The next prime is 120001311000019. The reversal of 120001311000011 is 110000113100021.

It is a happy number.

It is not a de Polignac number, because 120001311000011 - 2³⁴ = 119984131130827 is a prime.

It is a super-2 number, since 2×120001311000011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120001310999956 and 120001311000001.

It is not an unprimeable number, because it can be changed into a prime (120001311000019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561873401 + ... + 562086933.

It is an arithmetic number, because the mean of its divisors is an integer number (5890083419880).

Almost surely, 2^{120001311000011} is an apocalyptic number.

120001311000011 is a deficient number, since it is larger than the sum of its proper divisors (21360691077109).

120001311000011 is a wasteful number, since it uses less digits than its factorization.

120001311000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358803 (or 358796 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 120001311000011 its reverse (110000113100021), we get a palindrome (230001424100032).

The spelling of 120001311000011 in words is "one hundred twenty trillion, one billion, three hundred eleven million, eleven", and thus it is an aban number.