8301002001038 has 16 divisors (see below), whose sum is σ = 12854734356480. Its totient is φ = 4016123256600.

The previous prime is 8301002001031. The next prime is 8301002001043.

8301002001038 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8301002000998 and 8301002001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8301002001031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7664978 + ... + 8680661.

It is an arithmetic number, because the mean of its divisors is an integer number (803420897280).

Almost surely, 2^{8301002001038} is an apocalyptic number.

8301002001038 is a deficient number, since it is larger than the sum of its proper divisors (4553732355442).

8301002001038 is a wasteful number, since it uses less digits than its factorization.

8301002001038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16353863.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 8301002001038 in words is "eight trillion, three hundred one billion, two million, one thousand, thirty-eight".