2137713416041 has 24 divisors (see below), whose sum is σ = 2643805894464. Its totient is φ = 1719590352480.

The previous prime is 2137713416029. The next prime is 2137713416077. The reversal of 2137713416041 is 1406143177312.

It is a happy number.

It is not a de Polignac number, because 2137713416041 - 2¹¹ = 2137713413993 is a prime.

It is a super-3 number, since 3×2137713416041³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2137713415985 and 2137713416003.

It is not an unprimeable number, because it can be changed into a prime (2137713426041) 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, 17834775 + ... + 17954236.

It is an arithmetic number, because the mean of its divisors is an integer number (110158578936).

Almost surely, 2^{2137713416041} is an apocalyptic number.

It is an amenable number.

2137713416041 is a deficient number, since it is larger than the sum of its proper divisors (506092478423).

2137713416041 is a wasteful number, since it uses less digits than its factorization.

2137713416041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35789101 (or 35789094 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 2137713416041 in words is "two trillion, one hundred thirty-seven billion, seven hundred thirteen million, four hundred sixteen thousand, forty-one".