1311031003200 has 168 divisors, whose sum is σ = 4306475796480. Its totient is φ = 349185484800.

The previous prime is 1311031003189. The next prime is 1311031003201. The reversal of 1311031003200 is 23001301131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311031003200.

It is not an unprimeable number, because it can be changed into a prime (1311031003201) 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, 3814465 + ... + 4143935.

Almost surely, 2^{1311031003200} is an apocalyptic number.

1311031003200 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 1311031003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153237898240).

1311031003200 is an abundant number, since it is smaller than the sum of its proper divisors (2995444793280).

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

1311031003200 is a wasteful number, since it uses less digits than its factorization.

1311031003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330325 (or 330310 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1311031003200 its reverse (23001301131), we get a palindrome (1334032304331).

The spelling of 1311031003200 in words is "one trillion, three hundred eleven billion, thirty-one million, three thousand, two hundred".