431334013001013 has 24 divisors (see below), whose sum is σ = 628554003187968. Its totient is φ = 285010188930432.

The previous prime is 431334013000987. The next prime is 431334013001027. The reversal of 431334013001013 is 310100310433134.

431334013001013 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 340 + 1 + 300 + 1 + 0 + 13 = 666.

It is not a de Polignac number, because 431334013001013 - 2²² = 431334008806709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431334013001813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339844956 + ... + 341111802.

It is an arithmetic number, because the mean of its divisors is an integer number (26189750132832).

Almost surely, 2^{431334013001013} is an apocalyptic number.

It is an amenable number.

431334013001013 is a deficient number, since it is larger than the sum of its proper divisors (197219990186955).

431334013001013 is a wasteful number, since it uses less digits than its factorization.

431334013001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601753 (or 1601750 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 431334013001013 its reverse (310100310433134), we get a palindrome (741434323434147).

The spelling of 431334013001013 in words is "four hundred thirty-one trillion, three hundred thirty-four billion, thirteen million, one thousand, thirteen".