1024131311 has 12 divisors (see below), whose sum is σ = 1192519800. Its totient is φ = 876954960.

The previous prime is 1024131287. The next prime is 1024131319. The reversal of 1024131311 is 1131314201.

1024131311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1024131311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1024131311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024131319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42140 + ... + 61838.

It is an arithmetic number, because the mean of its divisors is an integer number (99376650).

Almost surely, 2^1024131311 is an apocalyptic number.

1024131311 is a deficient number, since it is larger than the sum of its proper divisors (168388489).

1024131311 is a wasteful number, since it uses less digits than its factorization.

1024131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20774 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1024131311 is about 32002.0516686040. The cubic root of 1024131311 is about 1007.9799217966.

Adding to 1024131311 its reverse (1131314201), we get a palindrome (2155445512).

The spelling of 1024131311 in words is "one billion, twenty-four million, one hundred thirty-one thousand, three hundred eleven".