310110101011013 has 16 divisors (see below), whose sum is σ = 316417976922096. Its totient is φ = 303865881446400.

The previous prime is 310110101011001. The next prime is 310110101011037.

310110101011013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 60888088698724 + 249222012312289 = 7803082^2 + 15786767^2 .

It is a cyclic number.

It is not a de Polignac number, because 310110101011013 - 2¹² = 310110101006917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310110101011063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366896795 + ... + 367741047.

It is an arithmetic number, because the mean of its divisors is an integer number (19776123557631).

Almost surely, 2^{310110101011013} is an apocalyptic number.

It is an amenable number.

310110101011013 is a deficient number, since it is larger than the sum of its proper divisors (6307875911083).

310110101011013 is a wasteful number, since it uses less digits than its factorization.

310110101011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881944.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 31011010 and 1011013, that added together give a palindrome (32022023).

The spelling of 310110101011013 in words is "three hundred ten trillion, one hundred ten billion, one hundred one million, eleven thousand, thirteen".