3131213031131 has 8 divisors (see below), whose sum is σ = 3337735411200. Its totient is φ = 2928862820520.

The previous prime is 3131213031083. The next prime is 3131213031137. The reversal of 3131213031131 is 1311303121313.

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

It is a cyclic number.

It is not a de Polignac number, because 3131213031131 - 2³⁰ = 3130139289307 is a prime.

It is a super-2 number, since 2×3131213031131² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131213031097 and 3131213031106.

It is not an unprimeable number, because it can be changed into a prime (3131213031137) 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 7 ways as a sum of consecutive naturals, for example, 1043040815 + ... + 1043043816.

It is an arithmetic number, because the mean of its divisors is an integer number (417216926400).

Almost surely, 2^{3131213031131} is an apocalyptic number.

3131213031131 is a deficient number, since it is larger than the sum of its proper divisors (206522380069).

3131213031131 is a wasteful number, since it uses less digits than its factorization.

3131213031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086084729.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 3131213031131 its reverse (1311303121313), we get a palindrome (4442516152444).

The spelling of 3131213031131 in words is "three trillion, one hundred thirty-one billion, two hundred thirteen million, thirty-one thousand, one hundred thirty-one".