1311233132031 has 16 divisors (see below), whose sum is σ = 1753215744000. Its totient is φ = 871705587168.

The previous prime is 1311233132029. The next prime is 1311233132059. The reversal of 1311233132031 is 1302313321131.

It is not a de Polignac number, because 1311233132031 - 2¹ = 1311233132029 is a prime.

It is a super-3 number, since 3×1311233132031³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1311233131992 and 1311233132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311233132431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684245 + ... + 2336481.

It is an arithmetic number, because the mean of its divisors is an integer number (109575984000).

Almost surely, 2^{1311233132031} is an apocalyptic number.

1311233132031 is a deficient number, since it is larger than the sum of its proper divisors (441982611969).

1311233132031 is a wasteful number, since it uses less digits than its factorization.

1311233132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654118.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1311233132031 its reverse (1302313321131), we get a palindrome (2613546453162).

The spelling of 1311233132031 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, one hundred thirty-two thousand, thirty-one".