1020331311 has 8 divisors (see below), whose sum is σ = 1369451904. Its totient is φ = 675715800.

The previous prime is 1020331261. The next prime is 1020331327. The reversal of 1020331311 is 1131330201.

1020331311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1020331311 - 2¹⁷ = 1020200239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020331111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125741 + ... + 1126646.

It is an arithmetic number, because the mean of its divisors is an integer number (171181488).

Almost surely, 2^1020331311 is an apocalyptic number.

1020331311 is a deficient number, since it is larger than the sum of its proper divisors (349120593).

1020331311 is a wasteful number, since it uses less digits than its factorization.

1020331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252541.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1020331311 is about 31942.6252991203. The cubic root of 1020331311 is about 1006.7316863817.

Adding to 1020331311 its reverse (1131330201), we get a palindrome (2151661512).

It can be divided in two parts, 10203 and 31311, that added together give a palindrome (41514).

The spelling of 1020331311 in words is "one billion, twenty million, three hundred thirty-one thousand, three hundred eleven".