87137005100713 has 2 divisors, whose sum is σ = 87137005100714. Its totient is φ = 87137005100712.

The previous prime is 87137005100689. The next prime is 87137005100791. The reversal of 87137005100713 is 31700150073178.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80068994704384 + 7068010396329 = 8948128^2 + 2658573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-87137005100713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87137005100713.

It is not a weakly prime, because it can be changed into another prime (87137005100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43568502550356 + 43568502550357.

It is an arithmetic number, because the mean of its divisors is an integer number (43568502550357).

Almost surely, 2^{87137005100713} is an apocalyptic number.

It is an amenable number.

87137005100713 is a deficient number, since it is larger than the sum of its proper divisors (1).

87137005100713 is an equidigital number, since it uses as much as digits as its factorization.

87137005100713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 123480, while the sum is 43.

The spelling of 87137005100713 in words is "eighty-seven trillion, one hundred thirty-seven billion, five million, one hundred thousand, seven hundred thirteen".