2003001311034 has 64 divisors (see below), whose sum is σ = 4556184209280. Its totient is φ = 651917185920.

The previous prime is 2003001311023. The next prime is 2003001311117. The reversal of 2003001311034 is 4301131003002.

2003001311034 is a `hidden beast` number, since 20 + 0 + 300 + 1 + 311 + 0 + 34 = 666.

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 = 2003001310998 and 2003001311016.

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, 6720294 + ... + 7012014.

It is an arithmetic number, because the mean of its divisors is an integer number (71190378270).

Almost surely, 2^{2003001311034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003001311034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278092104640).

2003001311034 is an abundant number, since it is smaller than the sum of its proper divisors (2553182898246).

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

2003001311034 is a wasteful number, since it uses less digits than its factorization.

2003001311034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294732 (or 294726 counting only the distinct ones).

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

Adding to 2003001311034 its reverse (4301131003002), we get a palindrome (6304132314036).

The spelling of 2003001311034 in words is "two trillion, three billion, one million, three hundred eleven thousand, thirty-four".