1331112511 has 16 divisors (see below), whose sum is σ = 1422892800. Its totient is φ = 1242476928.

The previous prime is 1331112491. The next prime is 1331112547. The reversal of 1331112511 is 1152111331.

It is not a de Polignac number, because 1331112511 - 2¹⁹ = 1330588223 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 (1331112571) 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 15 ways as a sum of consecutive naturals, for example, 185095 + ... + 192151.

It is an arithmetic number, because the mean of its divisors is an integer number (88930800).

Almost surely, 2^1331112511 is an apocalyptic number.

1331112511 is a deficient number, since it is larger than the sum of its proper divisors (91780289).

1331112511 is a wasteful number, since it uses less digits than its factorization.

1331112511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278.

The product of its digits is 90, while the sum is 19.

The square root of 1331112511 is about 36484.4146314560. The cubic root of 1331112511 is about 1100.0309938925.

Adding to 1331112511 its reverse (1152111331), we get a palindrome (2483223842).

The spelling of 1331112511 in words is "one billion, three hundred thirty-one million, one hundred twelve thousand, five hundred eleven".