3121132319 has 2 divisors, whose sum is σ = 3121132320. Its totient is φ = 3121132318.

The previous prime is 3121132291. The next prime is 3121132321. The reversal of 3121132319 is 9132311213.

3121132319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3121132319 is a prime.

It is a super-2 number, since 2×3121132319² = 19482933905412635522, which contains 22 as substring.

Together with 3121132321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121132349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560566159 + 1560566160.

It is an arithmetic number, because the mean of its divisors is an integer number (1560566160).

Almost surely, 2^3121132319 is an apocalyptic number.

3121132319 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121132319 is an equidigital number, since it uses as much as digits as its factorization.

3121132319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 26.

The square root of 3121132319 is about 55867.0951365829. The cubic root of 3121132319 is about 1461.4054644831.

It can be divided in two parts, 312113 and 2319, that added together give a cube (314432 = 68³).

The spelling of 3121132319 in words is "three billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred nineteen".