1020113311 has 24 divisors (see below), whose sum is σ = 1228245120. Its totient is φ = 843897600.

The previous prime is 1020113299. The next prime is 1020113317. The reversal of 1020113311 is 1133110201.

It is not a de Polignac number, because 1020113311 - 2⁵ = 1020113279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020113291 and 1020113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020113317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 790755 + ... + 792043.

It is an arithmetic number, because the mean of its divisors is an integer number (51176880).

Almost surely, 2^1020113311 is an apocalyptic number.

1020113311 is a deficient number, since it is larger than the sum of its proper divisors (208131809).

1020113311 is a wasteful number, since it uses less digits than its factorization.

1020113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1020113311 is about 31939.2127485948. The cubic root of 1020113311 is about 1006.6599831557.

Adding to 1020113311 its reverse (1133110201), we get a palindrome (2153223512).

The spelling of 1020113311 in words is "one billion, twenty million, one hundred thirteen thousand, three hundred eleven".