1311323200020 has 288 divisors, whose sum is σ = 4217720008320. Its totient is φ = 329286988800.

The previous prime is 1311323200009. The next prime is 1311323200037. The reversal of 1311323200020 is 200023231131.

1311323200020 is a `hidden beast` number, since 1 + 311 + 32 + 320 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311323199966 and 1311323200002.

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, 35305179 + ... + 35342301.

It is an arithmetic number, because the mean of its divisors is an integer number (14644861140).

Almost surely, 2^{1311323200020} is an apocalyptic number.

1311323200020 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 1311323200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108860004160).

1311323200020 is an abundant number, since it is smaller than the sum of its proper divisors (2906396808300).

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

1311323200020 is a wasteful number, since it uses less digits than its factorization.

1311323200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37335 (or 37330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1311323200020 its reverse (200023231131), we get a palindrome (1511346431151).

The spelling of 1311323200020 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, two hundred thousand, twenty".