1311033420 has 72 divisors (see below), whose sum is σ = 3983747040. Its totient is φ = 348998400.

The previous prime is 1311033397. The next prime is 1311033433. The reversal of 1311033420 is 243301131.

1311033420 is a `hidden beast` number, since 1 + 311 + 0 + 334 + 20 = 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 = 1311033393 and 1311033402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102121 + ... + 114239.

It is an arithmetic number, because the mean of its divisors is an integer number (55329820).

Almost surely, 2^1311033420 is an apocalyptic number.

1311033420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311033420 is an abundant number, since it is smaller than the sum of its proper divisors (2672713620).

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

1311033420 is a wasteful number, since it uses less digits than its factorization.

1311033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311033420 is about 36208.1954811338. The cubic root of 1311033420 is about 1094.4718288465.

Adding to 1311033420 its reverse (243301131), we get a palindrome (1554334551).

The spelling of 1311033420 in words is "one billion, three hundred eleven million, thirty-three thousand, four hundred twenty".