3132003331413 has 18 divisors (see below), whose sum is σ = 4972666448022. Its totient is φ = 1898183836560.

The previous prime is 3132003331403. The next prime is 3132003331531. The reversal of 3132003331413 is 3141333002313.

3132003331413 is a `hidden beast` number, since 3 + 1 + 320 + 0 + 3 + 331 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2268993917124 + 863009414289 = 1506318^2 + 928983^2 .

It is not a de Polignac number, because 3132003331413 - 2⁴ = 3132003331397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132003331403) 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 17 ways as a sum of consecutive naturals, for example, 1438016970 + ... + 1438019147.

Almost surely, 2^{3132003331413} is an apocalyptic number.

3132003331413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3132003331413 is a deficient number, since it is larger than the sum of its proper divisors (1840663116609).

3132003331413 is a wasteful number, since it uses less digits than its factorization.

3132003331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876036145 (or 2876036131 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3132003331413 its reverse (3141333002313), we get a palindrome (6273336333726).

The spelling of 3132003331413 in words is "three trillion, one hundred thirty-two billion, three million, three hundred thirty-one thousand, four hundred thirteen".