1003112040114 has 64 divisors (see below), whose sum is σ = 2266257569280. Its totient is φ = 328805516160.

The previous prime is 1003112040109. The next prime is 1003112040131. The reversal of 1003112040114 is 4110402113001.

1003112040114 is a `hidden beast` number, since 100 + 31 + 120 + 401 + 14 = 666.

It is a super-2 number, since 2×1003112040114² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13643319 + ... + 13716645.

It is an arithmetic number, because the mean of its divisors is an integer number (35410274520).

Almost surely, 2^{1003112040114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003112040114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133128784640).

1003112040114 is an abundant number, since it is smaller than the sum of its proper divisors (1263145529166).

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

1003112040114 is a wasteful number, since it uses less digits than its factorization.

1003112040114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77552 (or 77546 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1003112040114 its reverse (4110402113001), we get a palindrome (5113514153115).

The spelling of 1003112040114 in words is "one trillion, three billion, one hundred twelve million, forty thousand, one hundred fourteen".