1034311311 has 48 divisors (see below), whose sum is σ = 1755666432. Its totient is φ = 580219200.

The previous prime is 1034311309. The next prime is 1034311319. The reversal of 1034311311 is 1131134301.

1034311311 is a `hidden beast` number, since 1 + 0 + 343 + 11 + 311 = 666.

It is not a de Polignac number, because 1034311311 - 2¹ = 1034311309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034311319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63261 + ... + 77913.

It is an arithmetic number, because the mean of its divisors is an integer number (36576384).

Almost surely, 2^1034311311 is an apocalyptic number.

1034311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1034311311 is a deficient number, since it is larger than the sum of its proper divisors (721355121).

1034311311 is a wasteful number, since it uses less digits than its factorization.

1034311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14724 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1034311311 is about 32160.7106731179. The cubic root of 1034311311 is about 1011.3087341175.

Adding to 1034311311 its reverse (1131134301), we get a palindrome (2165445612).

The spelling of 1034311311 in words is "one billion, thirty-four million, three hundred eleven thousand, three hundred eleven".