1311411033220 has 24 divisors (see below), whose sum is σ = 2763905286744. Its totient is φ = 522670676736.

The previous prime is 1311411033209. The next prime is 1311411033241. The reversal of 1311411033220 is 223301141131.

It can be written as a sum of positive squares in 4 ways, for example, as 31575868416 + 1279835164804 = 177696^2 + 1131298^2 .

It is a super-2 number, since 2×1311411033220² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311411033191 and 1311411033200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118352857 + ... + 118363936.

It is an arithmetic number, because the mean of its divisors is an integer number (115162720281).

Almost surely, 2^{1311411033220} is an apocalyptic number.

1311411033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311411033220 is an abundant number, since it is smaller than the sum of its proper divisors (1452494253524).

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

1311411033220 is a wasteful number, since it uses less digits than its factorization.

1311411033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236717079 (or 236717077 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1311411033220 its reverse (223301141131), we get a palindrome (1534712174351).

The spelling of 1311411033220 in words is "one trillion, three hundred eleven billion, four hundred eleven million, thirty-three thousand, two hundred twenty".