1311411310000 has 300 divisors, whose sum is σ = 3498997737312. Its totient is φ = 475640000000.

The previous prime is 1311411309973. The next prime is 1311411310007. The reversal of 1311411310000 is 131141131.

It is a super-2 number, since 2×1311411310000² (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 (1311411310007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 557808825 + ... + 557811175.

Almost surely, 2^{1311411310000} is an apocalyptic number.

1311411310000 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 1311411310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749498868656).

1311411310000 is an abundant number, since it is smaller than the sum of its proper divisors (2187586427312).

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

1311411310000 is a wasteful number, since it uses less digits than its factorization.

1311411310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1311411310000 its reverse (131141131), we get a palindrome (1311542451131).

1311411310000 divided by its reverse (131141131) gives a 4-th power (10000 = 10⁴).

The spelling of 1311411310000 in words is "one trillion, three hundred eleven billion, four hundred eleven million, three hundred ten thousand".