1311422553516 has 192 divisors, whose sum is σ = 3434728872960. Its totient is φ = 387279298560.

The previous prime is 1311422553461. The next prime is 1311422553577. The reversal of 1311422553516 is 6153552241131.

It is a super-2 number, since 2×1311422553516² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537246856 + ... + 537249296.

It is an arithmetic number, because the mean of its divisors is an integer number (17889212880).

Almost surely, 2^{1311422553516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311422553516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717364436480).

1311422553516 is an abundant number, since it is smaller than the sum of its proper divisors (2123306319444).

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

1311422553516 is a wasteful number, since it uses less digits than its factorization.

1311422553516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4262 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

Adding to 1311422553516 its reverse (6153552241131), we get a palindrome (7464974794647).

The spelling of 1311422553516 in words is "one trillion, three hundred eleven billion, four hundred twenty-two million, five hundred fifty-three thousand, five hundred sixteen".