2003013013122 has 48 divisors (see below), whose sum is σ = 4737613570560. Its totient is φ = 606560925600.

The previous prime is 2003013013121. The next prime is 2003013013129. The reversal of 2003013013122 is 2213103103002.

2003013013122 is a `hidden beast` number, since 20 + 0 + 30 + 1 + 301 + 312 + 2 = 666.

It is a super-2 number, since 2×2003013013122² (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 a junction number, because it is equal to n+sod(n) for n = 2003013013095 and 2003013013104.

It is not an unprimeable number, because it can be changed into a prime (2003013013121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3147297 + ... + 3729812.

It is an arithmetic number, because the mean of its divisors is an integer number (98700282720).

Almost surely, 2^{2003013013122} is an apocalyptic number.

2003013013122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2003013013122 is an abundant number, since it is smaller than the sum of its proper divisors (2734600557438).

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

2003013013122 is a wasteful number, since it uses less digits than its factorization.

2003013013122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878599 (or 6878596 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003013013122 its reverse (2213103103002), we get a palindrome (4216116116124).

The spelling of 2003013013122 in words is "two trillion, three billion, thirteen million, thirteen thousand, one hundred twenty-two".