1311402765000 has 640 divisors, whose sum is σ = 4433780736000. Its totient is φ = 322358400000.

The previous prime is 1311402764993. The next prime is 1311402765007. The reversal of 1311402765000 is 5672041131.

It is an interprime number because it is at equal distance from previous prime (1311402764993) and next prime (1311402765007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1311402765007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1065314385 + ... + 1065315615.

It is an arithmetic number, because the mean of its divisors is an integer number (6927782400).

Almost surely, 2^{1311402765000} is an apocalyptic number.

1311402765000 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 1311402765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216890368000).

1311402765000 is an abundant number, since it is smaller than the sum of its proper divisors (3122377971000).

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

1311402765000 is a wasteful number, since it uses less digits than its factorization.

1311402765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1311402765000 in words is "one trillion, three hundred eleven billion, four hundred two million, seven hundred sixty-five thousand".