1311013224020 has 12 divisors (see below), whose sum is σ = 2753127770484. Its totient is φ = 524405289600.

The previous prime is 1311013223909. The next prime is 1311013224023. The reversal of 1311013224020 is 204223101131.

It can be written as a sum of positive squares in 2 ways, for example, as 914329914436 + 396683309584 = 956206^2 + 629828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 65550661201 = 1311013224020 / (1 + 3 + 1 + 1 + 0 + 1 + 3 + 2 + 2 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1311013223983 and 1311013224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311013224023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32775330581 + ... + 32775330620.

It is an arithmetic number, because the mean of its divisors is an integer number (229427314207).

Almost surely, 2^{1311013224020} is an apocalyptic number.

1311013224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311013224020 is an abundant number, since it is smaller than the sum of its proper divisors (1442114546464).

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

1311013224020 is a wasteful number, since it uses less digits than its factorization.

1311013224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65550661210 (or 65550661208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311013224020 its reverse (204223101131), we get a palindrome (1515236325151).

The spelling of 1311013224020 in words is "one trillion, three hundred eleven billion, thirteen million, two hundred twenty-four thousand, twenty".