2001010031013 has 32 divisors (see below), whose sum is σ = 3291445094400. Its totient is φ = 1056005286336.

The previous prime is 2001010030979. The next prime is 2001010031047. The reversal of 2001010031013 is 3101300101002.

It is an interprime number because it is at equal distance from previous prime (2001010030979) and next prime (2001010031047).

It is not a de Polignac number, because 2001010031013 - 2⁶ = 2001010030949 is a prime.

It is a super-2 number, since 2×2001010031013² (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 2001010031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010030013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71414923 + ... + 71442936.

It is an arithmetic number, because the mean of its divisors is an integer number (102857659200).

Almost surely, 2^{2001010031013} is an apocalyptic number.

2001010031013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2001010031013 is a deficient number, since it is larger than the sum of its proper divisors (1290435063387).

2001010031013 is a wasteful number, since it uses less digits than its factorization.

2001010031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142857921.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2001010031013 its reverse (3101300101002), we get a palindrome (5102310132015).

The spelling of 2001010031013 in words is "two trillion, one billion, ten million, thirty-one thousand, thirteen".