1311231001311 has 96 divisors (see below), whose sum is σ = 2391976604160. Its totient is φ = 672350976000.

The previous prime is 1311231001279. The next prime is 1311231001337. The reversal of 1311231001311 is 1131001321131.

1311231001311 is a `hidden beast` number, since 1 + 31 + 12 + 310 + 0 + 1 + 311 = 666.

It is not a de Polignac number, because 1311231001311 - 2⁵ = 1311231001279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311231001391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36556536 + ... + 36592386.

It is an arithmetic number, because the mean of its divisors is an integer number (24916422960).

Almost surely, 2^{1311231001311} is an apocalyptic number.

1311231001311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311231001311 is a deficient number, since it is larger than the sum of its proper divisors (1080745602849).

1311231001311 is a wasteful number, since it uses less digits than its factorization.

1311231001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36557 (or 36554 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1311231001311 its reverse (1131001321131), we get a palindrome (2442232322442).

The spelling of 1311231001311 in words is "one trillion, three hundred eleven billion, two hundred thirty-one million, one thousand, three hundred eleven".