1311001311 has 32 divisors (see below), whose sum is σ = 1939207680. Its totient is φ = 784080000.

The previous prime is 1311001303. The next prime is 1311001319. The reversal of 1311001311 is 1131001131.

1311001311 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1311001303) and next prime (1311001319).

It is not a de Polignac number, because 1311001311 - 2³ = 1311001303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311001319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127461 + ... + 137361.

It is an arithmetic number, because the mean of its divisors is an integer number (60600240).

Almost surely, 2^1311001311 is an apocalyptic number.

1311001311 is a deficient number, since it is larger than the sum of its proper divisors (628206369).

1311001311 is a wasteful number, since it uses less digits than its factorization.

1311001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1311001311 is about 36207.7520843258. The cubic root of 1311001311 is about 1094.4628937367.

Adding to 1311001311 its reverse (1131001131), we get a palindrome (2442002442).

It can be divided in two parts, 131100 and 1311, that multiplied together give a square (171872100 = 13110²).

The spelling of 1311001311 in words is "one billion, three hundred eleven million, one thousand, three hundred eleven".