1313434144431 has 40 divisors (see below), whose sum is σ = 1991726288640. Its totient is φ = 862381179792.

The previous prime is 1313434144427. The next prime is 1313434144457. The reversal of 1313434144431 is 1344414343131.

1313434144431 is a `hidden beast` number, since 13 + 134 + 3 + 41 + 44 + 431 = 666.

It is not a de Polignac number, because 1313434144431 - 2² = 1313434144427 is a prime.

It is a super-2 number, since 2×1313434144431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313434144031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30690010 + ... + 30732776.

It is an arithmetic number, because the mean of its divisors is an integer number (49793157216).

Almost surely, 2^{1313434144431} is an apocalyptic number.

1313434144431 is a deficient number, since it is larger than the sum of its proper divisors (678292144209).

1313434144431 is an equidigital number, since it uses as much as digits as its factorization.

1313434144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48496 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1313434144431 its reverse (1344414343131), we get a palindrome (2657848487562).

The spelling of 1313434144431 in words is "one trillion, three hundred thirteen billion, four hundred thirty-four million, one hundred forty-four thousand, four hundred thirty-one".