1311034400214 has 192 divisors, whose sum is σ = 3522250448640. Its totient is φ = 321138881280.

The previous prime is 1311034400197. The next prime is 1311034400233. The reversal of 1311034400214 is 4120044301131.

It is a super-2 number, since 2×1311034400214² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3870252 + ... + 4195344.

It is an arithmetic number, because the mean of its divisors is an integer number (18345054420).

Almost surely, 2^{1311034400214} is an apocalyptic number.

1311034400214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311034400214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761125224320).

1311034400214 is an abundant number, since it is smaller than the sum of its proper divisors (2211216048426).

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

1311034400214 is a wasteful number, since it uses less digits than its factorization.

1311034400214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325195 (or 325188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311034400214 its reverse (4120044301131), we get a palindrome (5431078701345).

The spelling of 1311034400214 in words is "one trillion, three hundred eleven billion, thirty-four million, four hundred thousand, two hundred fourteen".