1311003124000 has 96 divisors (see below), whose sum is σ = 3281911332336. Its totient is φ = 514506803200.

The previous prime is 1311003123967. The next prime is 1311003124009. The reversal of 1311003124000 is 4213001131.

It can be written as a sum of positive squares in 8 ways, for example, as 245805740944 + 1065197383056 = 495788^2 + 1032084^2 .

It is a super-2 number, since 2×1311003124000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1311003124009) 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, 2879989 + ... + 3303988.

Almost surely, 2^{1311003124000} is an apocalyptic number.

1311003124000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311003124000 is an abundant number, since it is smaller than the sum of its proper divisors (1970908208336).

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

1311003124000 is an equidigital number, since it uses as much as digits as its factorization.

1311003124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184055 (or 6184037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1311003124000 its reverse (4213001131), we get a palindrome (1315216125131).

The spelling of 1311003124000 in words is "one trillion, three hundred eleven billion, three million, one hundred twenty-four thousand".