1311531024133 has 24 divisors (see below), whose sum is σ = 1452541832280. Its totient is φ = 1183281792000.

The previous prime is 1311531024131. The next prime is 1311531024151. The reversal of 1311531024133 is 3314201351131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 977096664324 + 334434359809 = 988482^2 + 578303^2 .

It is not a de Polignac number, because 1311531024133 - 2¹ = 1311531024131 is a prime.

It is a super-2 number, since 2×1311531024133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311531024131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9490033 + ... + 9627241.

It is an arithmetic number, because the mean of its divisors is an integer number (60522576345).

Almost surely, 2^{1311531024133} is an apocalyptic number.

It is an amenable number.

1311531024133 is a deficient number, since it is larger than the sum of its proper divisors (141010808147).

1311531024133 is a wasteful number, since it uses less digits than its factorization.

1311531024133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137829 (or 137818 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 1311531024133 its reverse (3314201351131), we get a palindrome (4625732375264).

The spelling of 1311531024133 in words is "one trillion, three hundred eleven billion, five hundred thirty-one million, twenty-four thousand, one hundred thirty-three".