1311120131130 has 96 divisors (see below), whose sum is σ = 3433282070400. Its totient is φ = 347138653056.

The previous prime is 1311120131119. The next prime is 1311120131143. The reversal of 1311120131130 is 311310211131.

1311120131130 is a `hidden beast` number, since 1 + 311 + 12 + 0 + 1 + 311 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10360276 + ... + 10486064.

It is an arithmetic number, because the mean of its divisors is an integer number (35763354900).

Almost surely, 2^{1311120131130} is an apocalyptic number.

1311120131130 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 1311120131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716641035200).

1311120131130 is an abundant number, since it is smaller than the sum of its proper divisors (2122161939270).

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

1311120131130 is a wasteful number, since it uses less digits than its factorization.

1311120131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126628 (or 126625 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1311120131130 its reverse (311310211131), we get a palindrome (1622430342261).

The spelling of 1311120131130 in words is "one trillion, three hundred eleven billion, one hundred twenty million, one hundred thirty-one thousand, one hundred thirty".