1311003323136 has 216 divisors, whose sum is σ = 4126480883616. Its totient is φ = 397859143680.

The previous prime is 1311003323117. The next prime is 1311003323137. The reversal of 1311003323136 is 6313233001131.

1311003323136 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 0 + 332 + 313 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1311003323137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1886701 + ... + 2486291.

Almost surely, 2^{1311003323136} is an apocalyptic number.

1311003323136 is a gapful number since it is divisible by the number (16) 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 1311003323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063240441808).

1311003323136 is an abundant number, since it is smaller than the sum of its proper divisors (2815477560480).

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

1311003323136 is a wasteful number, since it uses less digits than its factorization.

1311003323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599699 (or 599682 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 1311003323136 its reverse (6313233001131), we get a palindrome (7624236324267).

The spelling of 1311003323136 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, one hundred thirty-six".