1020066311 has 16 divisors (see below), whose sum is σ = 1121840928. Its totient is φ = 919833600.

The previous prime is 1020066269. The next prime is 1020066343. The reversal of 1020066311 is 1136600201.

It is a cyclic number.

It is not a de Polignac number, because 1020066311 - 2²² = 1015872007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020066361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863141 + ... + 864321.

It is an arithmetic number, because the mean of its divisors is an integer number (70115058).

Almost surely, 2^1020066311 is an apocalyptic number.

1020066311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020066311 is a deficient number, since it is larger than the sum of its proper divisors (101774617).

1020066311 is a wasteful number, since it uses less digits than its factorization.

1020066311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1020066311 is about 31938.4769674448. The cubic root of 1020066311 is about 1006.6445228647.

Adding to 1020066311 its reverse (1136600201), we get a palindrome (2156666512).

The spelling of 1020066311 in words is "one billion, twenty million, sixty-six thousand, three hundred eleven".