3414315145131 has 24 divisors (see below), whose sum is σ = 5384568539376. Its totient is φ = 2067575912640.

The previous prime is 3414315145093. The next prime is 3414315145177. The reversal of 3414315145131 is 1315415134143.

It is a happy number.

3414315145131 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 3 + 1 + 514 + 5 + 131 = 666.

It is not a de Polignac number, because 3414315145131 - 2¹⁴ = 3414315128747 is a prime.

It is a super-2 number, since 2×3414315145131² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3414315145931) 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 23 ways as a sum of consecutive naturals, for example, 14095920 + ... + 14336093.

It is an arithmetic number, because the mean of its divisors is an integer number (224357022474).

Almost surely, 2^{3414315145131} is an apocalyptic number.

3414315145131 is a deficient number, since it is larger than the sum of its proper divisors (1970253394245).

3414315145131 is a wasteful number, since it uses less digits than its factorization.

3414315145131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28433243 (or 28433240 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 3414315145131 in words is "three trillion, four hundred fourteen billion, three hundred fifteen million, one hundred forty-five thousand, one hundred thirty-one".