110310104242013 has 16 divisors (see below), whose sum is σ = 118902552266736. Its totient is φ = 101732961484800.

The previous prime is 110310104242007. The next prime is 110310104242067. The reversal of 110310104242013 is 310242401013011.

It can be written as a sum of positive squares in 8 ways, for example, as 15470903956249 + 94839200285764 = 3933307^2 + 9738542^2 .

It is a cyclic number.

It is not a de Polignac number, because 110310104242013 - 2¹⁶ = 110310104176477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110310104242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110310104242213) 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, 235100381 + ... + 235569117.

It is an arithmetic number, because the mean of its divisors is an integer number (7431409516671).

Almost surely, 2^{110310104242013} is an apocalyptic number.

110310104242013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110310104242013 is a deficient number, since it is larger than the sum of its proper divisors (8592448024723).

110310104242013 is a wasteful number, since it uses less digits than its factorization.

110310104242013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485024.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 110310104242013 its reverse (310242401013011), we get a palindrome (420552505255024).

The spelling of 110310104242013 in words is "one hundred ten trillion, three hundred ten billion, one hundred four million, two hundred forty-two thousand, thirteen".