3131220221313 has 8 divisors (see below), whose sum is σ = 4287797059968. Its totient is φ = 2031061765104.

The previous prime is 3131220221251. The next prime is 3131220221333.

3131220221313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-3131220221313 is a prime.

It is a super-3 number, since 3×3131220221313³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131220221333) 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, 14104595481 + ... + 14104595702.

It is an arithmetic number, because the mean of its divisors is an integer number (535974632496).

Almost surely, 2^{3131220221313} is an apocalyptic number.

It is an amenable number.

3131220221313 is a deficient number, since it is larger than the sum of its proper divisors (1156576838655).

3131220221313 is a wasteful number, since it uses less digits than its factorization.

3131220221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28209191223.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3131220 and 221313, that added together give a palindrome (3352533).

The spelling of 3131220221313 in words is "three trillion, one hundred thirty-one billion, two hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".