1311233420130 has 256 divisors, whose sum is σ = 3464291980800. Its totient is φ = 316451266560.

The previous prime is 1311233420099. The next prime is 1311233420137. The reversal of 1311233420130 is 310243321131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311233420130.

It is not an unprimeable number, because it can be changed into a prime (1311233420137) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1026807052 + ... + 1026808328.

It is an arithmetic number, because the mean of its divisors is an integer number (13532390550).

Almost surely, 2^{1311233420130} is an apocalyptic number.

1311233420130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311233420130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732145990400).

1311233420130 is an abundant number, since it is smaller than the sum of its proper divisors (2153058560670).

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

1311233420130 is a wasteful number, since it uses less digits than its factorization.

1311233420130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1311233420130 its reverse (310243321131), we get a palindrome (1621476741261).

The spelling of 1311233420130 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, four hundred twenty thousand, one hundred thirty".