87030013381311 has 256 divisors, whose sum is σ = 165970280448000. Its totient is φ = 39064537958400.

The previous prime is 87030013381163. The next prime is 87030013381379. The reversal of 87030013381311 is 11318331003078.

It is not a de Polignac number, because 87030013381311 - 2¹⁹ = 87030012857023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87030013381311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87030013381391) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1623758365 + ... + 1623811961.

It is an arithmetic number, because the mean of its divisors is an integer number (648321408000).

Almost surely, 2^{87030013381311} is an apocalyptic number.

87030013381311 is a deficient number, since it is larger than the sum of its proper divisors (78940267066689).

87030013381311 is a wasteful number, since it uses less digits than its factorization.

87030013381311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53990.

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 87030013381311 its reverse (11318331003078), we get a palindrome (98348344384389).

The spelling of 87030013381311 in words is "eighty-seven trillion, thirty billion, thirteen million, three hundred eighty-one thousand, three hundred eleven".