100302301310013 has 80 divisors (see below), whose sum is σ = 163881727511040. Its totient is φ = 60630861376800.

The previous prime is 100302301309999. The next prime is 100302301310021. The reversal of 100302301310013 is 310013103203001.

It is a happy number.

100302301310013 is a `hidden beast` number, since 10 + 0 + 30 + 2 + 301 + 310 + 0 + 13 = 666.

It is not a de Polignac number, because 100302301310013 - 2⁸ = 100302301309757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302301310053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1854298098 + ... + 1854352188.

It is an arithmetic number, because the mean of its divisors is an integer number (2048521593888).

Almost surely, 2^{100302301310013} is an apocalyptic number.

It is an amenable number.

100302301310013 is a deficient number, since it is larger than the sum of its proper divisors (63579426201027).

100302301310013 is a wasteful number, since it uses less digits than its factorization.

100302301310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59500 (or 59491 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100302301310013 its reverse (310013103203001), we get a palindrome (410315404513014).

The spelling of 100302301310013 in words is "one hundred trillion, three hundred two billion, three hundred one million, three hundred ten thousand, thirteen".