1310401331505 has 96 divisors (see below), whose sum is σ = 2868041240064. Its totient is φ = 539289704448.

The previous prime is 1310401331497. The next prime is 1310401331531. The reversal of 1310401331505 is 5051331040131.

It is a happy number.

1310401331505 is a `hidden beast` number, since 13 + 10 + 4 + 0 + 133 + 1 + 505 = 666.

It is not a de Polignac number, because 1310401331505 - 2³ = 1310401331497 is a prime.

It is a super-2 number, since 2×1310401331505² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5196534 + ... + 5442863.

It is an arithmetic number, because the mean of its divisors is an integer number (29875429584).

Almost surely, 2^{1310401331505} is an apocalyptic number.

1310401331505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310401331505 is an abundant number, since it is smaller than the sum of its proper divisors (1557639908559).

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

1310401331505 is a wasteful number, since it uses less digits than its factorization.

1310401331505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639455 (or 10639452 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1310401331505 its reverse (5051331040131), we get a palindrome (6361732371636).

The spelling of 1310401331505 in words is "one trillion, three hundred ten billion, four hundred one million, three hundred thirty-one thousand, five hundred five".