3142224431313 has 128 divisors (see below), whose sum is σ = 5112962611200. Its totient is φ = 1709005858560.

The previous prime is 3142224431293. The next prime is 3142224431321. The reversal of 3142224431313 is 3131344222413.

It is not a de Polignac number, because 3142224431313 - 2¹² = 3142224427217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3142224431383) 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 127 ways as a sum of consecutive naturals, for example, 116594106 + ... + 116621052.

It is an arithmetic number, because the mean of its divisors is an integer number (39945020400).

Almost surely, 2^{3142224431313} is an apocalyptic number.

3142224431313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3142224431313 is a deficient number, since it is larger than the sum of its proper divisors (1970738179887).

3142224431313 is a wasteful number, since it uses less digits than its factorization.

3142224431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084 (or 27062 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 3142224431313 its reverse (3131344222413), we get a palindrome (6273568653726).

The spelling of 3142224431313 in words is "three trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred thirty-one thousand, three hundred thirteen".