1011301301120 has 128 divisors (see below), whose sum is σ = 2693544192000. Its totient is φ = 359921428480.

The previous prime is 1011301301107. The next prime is 1011301301141. The reversal of 1011301301120 is 211031031101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1011301301095 and 1011301301104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1197320 + ... + 1859079.

It is an arithmetic number, because the mean of its divisors is an integer number (21043314000).

Almost surely, 2^{1011301301120} is an apocalyptic number.

1011301301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011301301120 is an abundant number, since it is smaller than the sum of its proper divisors (1682242890880).

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

1011301301120 is a wasteful number, since it uses less digits than its factorization.

1011301301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056476 (or 3056464 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1011301301120 its reverse (211031031101), we get a palindrome (1222332332221).

The spelling of 1011301301120 in words is "one trillion, eleven billion, three hundred one million, three hundred one thousand, one hundred twenty".