3131133431 has 2 divisors, whose sum is σ = 3131133432. Its totient is φ = 3131133430.

The previous prime is 3131133409. The next prime is 3131133437. The reversal of 3131133431 is 1343311313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131133431 is a prime.

It is a super-4 number, since 4×3131133431⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3131133397 and 3131133406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131133437) 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 as a sum of consecutive naturals, namely, 1565566715 + 1565566716.

It is an arithmetic number, because the mean of its divisors is an integer number (1565566716).

Almost surely, 2^3131133431 is an apocalyptic number.

3131133431 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131133431 is an equidigital number, since it uses as much as digits as its factorization.

3131133431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

The square root of 3131133431 is about 55956.5316205356. The cubic root of 3131133431 is about 1462.9647379405.

Adding to 3131133431 its reverse (1343311313), we get a palindrome (4474444744).

The spelling of 3131133431 in words is "three billion, one hundred thirty-one million, one hundred thirty-three thousand, four hundred thirty-one".