1311203313000 has 192 divisors, whose sum is σ = 5064991326720. Its totient is φ = 299703600000.

The previous prime is 1311203312981. The next prime is 1311203313001. The reversal of 1311203313000 is 3133021131.

It is a happy number.

1311203313000 is a `hidden beast` number, since 1 + 3 + 11 + 20 + 331 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311203313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10343376 + ... + 10469375.

It is an arithmetic number, because the mean of its divisors is an integer number (26380163160).

Almost surely, 2^{1311203313000} is an apocalyptic number.

1311203313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311203313000 is an abundant number, since it is smaller than the sum of its proper divisors (3753788013720).

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

1311203313000 is a wasteful number, since it uses less digits than its factorization.

1311203313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812785 (or 20812768 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1311203313000 its reverse (3133021131), we get a palindrome (1314336334131).

The spelling of 1311203313000 in words is "one trillion, three hundred eleven billion, two hundred three million, three hundred thirteen thousand".