1311431033520 has 160 divisors (see below), whose sum is σ = 4551634391040. Its totient is φ = 347045287680.

The previous prime is 1311431033513. The next prime is 1311431033531. The reversal of 1311431033520 is 253301341131.

1311431033520 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 310 + 335 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034384 + ... + 2600303.

It is an arithmetic number, because the mean of its divisors is an integer number (28447714944).

Almost surely, 2^{1311431033520} is an apocalyptic number.

1311431033520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311431033520 is an abundant number, since it is smaller than the sum of its proper divisors (3240203357520).

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

1311431033520 is a wasteful number, since it uses less digits than its factorization.

1311431033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634840 (or 4634828 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1311431033520 its reverse (253301341131), we get a palindrome (1564732374651).

The spelling of 1311431033520 in words is "one trillion, three hundred eleven billion, four hundred thirty-one million, thirty-three thousand, five hundred twenty".