1311233961600 has 480 divisors, whose sum is σ = 4849067139840. Its totient is φ = 348916377600.

The previous prime is 1311233961563. The next prime is 1311233961607. The reversal of 1311233961600 is 61693321131.

It is a happy number.

1311233961600 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 3 + 39 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×1311233961600⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1311233961607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 127262049 + ... + 127272351.

It is an arithmetic number, because the mean of its divisors is an integer number (10102223208).

Almost surely, 2^{1311233961600} is an apocalyptic number.

1311233961600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311233961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424533569920).

1311233961600 is an abundant number, since it is smaller than the sum of its proper divisors (3537833178240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311233961600 is a wasteful number, since it uses less digits than its factorization.

1311233961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 1311233961600 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, nine hundred sixty-one thousand, six hundred".