2003201312 has 96 divisors (see below), whose sum is σ = 4873034880. Its totient is φ = 791285760.

The previous prime is 2003201297. The next prime is 2003201327. The reversal of 2003201312 is 2131023002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2003201297) and next prime (2003201327).

It is a super-4 number, since 4×2003201312⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151112 + ... + 163832.

It is an arithmetic number, because the mean of its divisors is an integer number (50760780).

Almost surely, 2^2003201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436517440).

2003201312 is an abundant number, since it is smaller than the sum of its proper divisors (2869833568).

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

2003201312 is a wasteful number, since it uses less digits than its factorization.

2003201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12794 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2003201312 is about 44757.1369951207. The cubic root of 2003201312 is about 1260.5929249380.

Adding to 2003201312 its reverse (2131023002), we get a palindrome (4134224314).

The spelling of 2003201312 in words is "two billion, three million, two hundred one thousand, three hundred twelve".