1311606505020 has 192 divisors, whose sum is σ = 4353261244416. Its totient is φ = 288804787200.

The previous prime is 1311606504997. The next prime is 1311606505021. The reversal of 1311606505020 is 205056061131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311606505021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151709 + ... + 1987371.

It is an arithmetic number, because the mean of its divisors is an integer number (22673235648).

Almost surely, 2^{1311606505020} is an apocalyptic number.

1311606505020 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 1311606505020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176630622208).

1311606505020 is an abundant number, since it is smaller than the sum of its proper divisors (3041654739396).

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

1311606505020 is a wasteful number, since it uses less digits than its factorization.

1311606505020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835820 (or 835818 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1311606505020 in words is "one trillion, three hundred eleven billion, six hundred six million, five hundred five thousand, twenty".