3134540102013 has 12 divisors (see below), whose sum is σ = 4529654015068. Its totient is φ = 2088777257280.

The previous prime is 3134540101999. The next prime is 3134540102033. The reversal of 3134540102013 is 3102010454313.

It is a happy number.

3134540102013 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 540 + 102 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2740210108164 + 394329993849 = 1655358^2 + 627957^2 .

It is not a de Polignac number, because 3134540102013 - 2⁵ = 3134540101981 is a prime.

It is a super-2 number, since 2×3134540102013² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134540102033) 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 11 ways as a sum of consecutive naturals, for example, 76323670 + ... + 76364727.

Almost surely, 2^{3134540102013} is an apocalyptic number.

It is an amenable number.

3134540102013 is a deficient number, since it is larger than the sum of its proper divisors (1395113913055).

3134540102013 is a wasteful number, since it uses less digits than its factorization.

3134540102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152690684 (or 152690681 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3134540102013 its reverse (3102010454313), we get a palindrome (6236550556326).

The spelling of 3134540102013 in words is "three trillion, one hundred thirty-four billion, five hundred forty million, one hundred two thousand, thirteen".