2001003013131 has 16 divisors (see below), whose sum is σ = 2670969095040. Its totient is φ = 1332519814080.

The previous prime is 2001003013123. The next prime is 2001003013241. The reversal of 2001003013131 is 1313103001002.

It is not a de Polignac number, because 2001003013131 - 2³ = 2001003013123 is a prime.

It is a super-2 number, since 2×2001003013131² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001003013131.

It is not an unprimeable number, because it can be changed into a prime (2001003033131) 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 15 ways as a sum of consecutive naturals, for example, 26138871 + ... + 26215311.

It is an arithmetic number, because the mean of its divisors is an integer number (166935568440).

Almost surely, 2^{2001003013131} is an apocalyptic number.

2001003013131 is a deficient number, since it is larger than the sum of its proper divisors (669966081909).

2001003013131 is a wasteful number, since it uses less digits than its factorization.

2001003013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86026.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2001003013131 its reverse (1313103001002), we get a palindrome (3314106014133).

The spelling of 2001003013131 in words is "two trillion, one billion, three million, thirteen thousand, one hundred thirty-one".