1020240103311 has 120 divisors (see below), whose sum is σ = 1805669360880. Its totient is φ = 570258247680.

The previous prime is 1020240103297. The next prime is 1020240103369. The reversal of 1020240103311 is 1133010420201.

1020240103311 is a `hidden beast` number, since 10 + 2 + 0 + 240 + 103 + 311 = 666.

It is not a de Polignac number, because 1020240103311 - 2¹⁵ = 1020240070543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020240102311) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179522076 + ... + 179527758.

It is an arithmetic number, because the mean of its divisors is an integer number (15047244674).

Almost surely, 2^{1020240103311} is an apocalyptic number.

1020240103311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020240103311 is a deficient number, since it is larger than the sum of its proper divisors (785429257569).

1020240103311 is a wasteful number, since it uses less digits than its factorization.

1020240103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7119 counting only the distinct ones).

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

Adding to 1020240103311 its reverse (1133010420201), we get a palindrome (2153250523512).

The spelling of 1020240103311 in words is "one trillion, twenty billion, two hundred forty million, one hundred three thousand, three hundred eleven".