1311020020224 has 120 divisors (see below), whose sum is σ = 3982834524240. Its totient is φ = 414006294528.

The previous prime is 1311020020181. The next prime is 1311020020229. The reversal of 1311020020224 is 4220200201131.

It is a happy number.

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 = 1311020020197 and 1311020020206.

It is not an unprimeable number, because it can be changed into a prime (1311020020229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7399542 + ... + 7574645.

It is an arithmetic number, because the mean of its divisors is an integer number (33190287702).

Almost surely, 2^{1311020020224} is an apocalyptic number.

It is an amenable number.

1311020020224 is an abundant number, since it is smaller than the sum of its proper divisors (2671814504016).

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

1311020020224 is a wasteful number, since it uses less digits than its factorization.

1311020020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14974230 (or 14974211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1311020020224 its reverse (4220200201131), we get a palindrome (5531220221355).

The spelling of 1311020020224 in words is "one trillion, three hundred eleven billion, twenty million, twenty thousand, two hundred twenty-four".