310101242101013 has 48 divisors (see below), whose sum is σ = 350555228357376. Its totient is φ = 273942725760000.

The previous prime is 310101242100959. The next prime is 310101242101031.

310101242101013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310101242101013 - 2¹⁶ = 310101242035477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310101242101043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5099396378 + ... + 5099457188.

It is an arithmetic number, because the mean of its divisors is an integer number (7303233924112).

Almost surely, 2^{310101242101013} is an apocalyptic number.

It is an amenable number.

310101242101013 is a deficient number, since it is larger than the sum of its proper divisors (40453986256363).

310101242101013 is a wasteful number, since it uses less digits than its factorization.

310101242101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64938 (or 64927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 310101242101013 in words is "three hundred ten trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, thirteen".