1311033112000 has 112 divisors (see below), whose sum is σ = 3254178058560. Its totient is φ = 523217280000.

The previous prime is 1311033111959. The next prime is 1311033112007. The reversal of 1311033112000 is 2113301131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311033112007) 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, 3325350 + ... + 3698650.

Almost surely, 2^{1311033112000} is an apocalyptic number.

1311033112000 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 1311033112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627089029280).

1311033112000 is an abundant number, since it is smaller than the sum of its proper divisors (1943144946560).

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

1311033112000 is an equidigital number, since it uses as much as digits as its factorization.

1311033112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373767 (or 373747 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1311033112000 its reverse (2113301131), we get a palindrome (1313146413131).

The spelling of 1311033112000 in words is "one trillion, three hundred eleven billion, thirty-three million, one hundred twelve thousand".