1311040130220 has 480 divisors, whose sum is σ = 4421825432640. Its totient is φ = 324005806080.

The previous prime is 1311040130189. The next prime is 1311040130287. The reversal of 1311040130220 is 220310401131.

1311040130220 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 401 + 30 + 220 = 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 = 1311040130193 and 1311040130202.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 678942655 + ... + 678944585.

It is an arithmetic number, because the mean of its divisors is an integer number (9212136318).

Almost surely, 2^{1311040130220} is an apocalyptic number.

1311040130220 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 1311040130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210912716320).

1311040130220 is an abundant number, since it is smaller than the sum of its proper divisors (3110785302420).

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

1311040130220 is a wasteful number, since it uses less digits than its factorization.

1311040130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1311040130220 its reverse (220310401131), we get a palindrome (1531350531351).

The spelling of 1311040130220 in words is "one trillion, three hundred eleven billion, forty million, one hundred thirty thousand, two hundred twenty".