3667340007313 has 2 divisors, whose sum is σ = 3667340007314. Its totient is φ = 3667340007312.

The previous prime is 3667340007307. The next prime is 3667340007371. The reversal of 3667340007313 is 3137000437663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2418236484624 + 1249103522689 = 1555068^2 + 1117633^2 .

It is a cyclic number.

It is not a de Polignac number, because 3667340007313 - 2²¹ = 3667337910161 is a prime.

It is a super-3 number, since 3×3667340007313³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3667340007313.

It is not a weakly prime, because it can be changed into another prime (3667340007013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1833670003656 + 1833670003657.

It is an arithmetic number, because the mean of its divisors is an integer number (1833670003657).

Almost surely, 2^{3667340007313} is an apocalyptic number.

It is an amenable number.

3667340007313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3667340007313 is an equidigital number, since it uses as much as digits as its factorization.

3667340007313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 43.

The spelling of 3667340007313 in words is "three trillion, six hundred sixty-seven billion, three hundred forty million, seven thousand, three hundred thirteen".