3122132013 has 128 divisors (see below), whose sum is σ = 6246912000. Its totient is φ = 1488326400.

The previous prime is 3122132009. The next prime is 3122132051. The reversal of 3122132013 is 3102312213.

3122132013 is a `hidden beast` number, since 312 + 21 + 320 + 13 = 666.

It is not a de Polignac number, because 3122132013 - 2² = 3122132009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122131013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8945763 + ... + 8946111.

It is an arithmetic number, because the mean of its divisors is an integer number (48804000).

Almost surely, 2^3122132013 is an apocalyptic number.

3122132013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3122132013 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3122132013 is a wasteful number, since it uses less digits than its factorization.

3122132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3122132013 is about 55876.0414936491. The cubic root of 3122132013 is about 1461.5614764869.

Adding to 3122132013 its reverse (3102312213), we get a palindrome (6224444226).

The spelling of 3122132013 in words is "three billion, one hundred twenty-two million, one hundred thirty-two thousand, thirteen".