1311012310104 has 192 divisors, whose sum is σ = 4121416765440. Its totient is φ = 368719464960.

The previous prime is 1311012310057. The next prime is 1311012310117. The reversal of 1311012310104 is 4010132101131.

It is a happy number.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49659532 + ... + 49685924.

It is an arithmetic number, because the mean of its divisors is an integer number (21465712320).

Almost surely, 2^{1311012310104} is an apocalyptic number.

1311012310104 is a gapful number since it is divisible by the number (14) 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 1311012310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060708382720).

1311012310104 is an abundant number, since it is smaller than the sum of its proper divisors (2810404455336).

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

1311012310104 is a wasteful number, since it uses less digits than its factorization.

1311012310104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27950 (or 27943 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311012310104 its reverse (4010132101131), we get a palindrome (5321144411235).

The spelling of 1311012310104 in words is "one trillion, three hundred eleven billion, twelve million, three hundred ten thousand, one hundred four".