1331000413 has 2 divisors, whose sum is σ = 1331000414. Its totient is φ = 1331000412.

The previous prime is 1331000401. The next prime is 1331000423. The reversal of 1331000413 is 3140001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 776068164 + 554932249 = 27858^2 + 23557^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331000413 - 2⁵ = 1331000381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331000423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665500206 + 665500207.

It is an arithmetic number, because the mean of its divisors is an integer number (665500207).

Almost surely, 2^1331000413 is an apocalyptic number.

It is an amenable number.

1331000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331000413 is an equidigital number, since it uses as much as digits as its factorization.

1331000413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1331000413 is about 36482.8783540992. The cubic root of 1331000413 is about 1100.0001137741. Note that the first 3 decimals are identical.

Adding to 1331000413 its reverse (3140001331), we get a palindrome (4471001744).

The spelling of 1331000413 in words is "one billion, three hundred thirty-one million, four hundred thirteen", and thus it is an aban number.