11003012310114 has 72 divisors (see below), whose sum is σ = 27745563949740. Its totient is φ = 3138114017280.

The previous prime is 11003012310109. The next prime is 11003012310119. The reversal of 11003012310114 is 41101321030011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11003012310109) and next prime (11003012310119).

It can be written as a sum of positive squares in 2 ways, for example, as 8334797870025 + 2668214440089 = 2887005^2 + 1633467^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11003012310119) 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 35 ways as a sum of consecutive naturals, for example, 148547919 + ... + 148621970.

Almost surely, 2^{11003012310114} is an apocalyptic number.

11003012310114 is an abundant number, since it is smaller than the sum of its proper divisors (16742551639626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11003012310114 is a wasteful number, since it uses less digits than its factorization.

11003012310114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297169936 (or 297169922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11003012310114 its reverse (41101321030011), we get a palindrome (52104333340125).

The spelling of 11003012310114 in words is "eleven trillion, three billion, twelve million, three hundred ten thousand, one hundred fourteen".