3131321233122 has 16 divisors (see below), whose sum is σ = 6958491629280. Its totient is φ = 1043773744356.

The previous prime is 3131321233121. The next prime is 3131321233123. The reversal of 3131321233122 is 2213321231313.

3131321233122 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 321 + 2 + 331 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3131321233121) and next prime (3131321233123).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3131321233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28993715068 + ... + 28993715175.

It is an arithmetic number, because the mean of its divisors is an integer number (434905726830).

Almost surely, 2^{3131321233122} is an apocalyptic number.

3131321233122 is an abundant number, since it is smaller than the sum of its proper divisors (3827170396158).

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

3131321233122 is a wasteful number, since it uses less digits than its factorization.

3131321233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57987430254 (or 57987430248 counting only the distinct ones).

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

Adding to 3131321233122 its reverse (2213321231313), we get a palindrome (5344642464435).

The spelling of 3131321233122 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty-two".