2001012011313 has 16 divisors (see below), whose sum is σ = 3181733385216. Its totient is φ = 1093720850640.

The previous prime is 2001012011311. The next prime is 2001012011399. The reversal of 2001012011313 is 3131102101002.

It is a happy number.

It is not a de Polignac number, because 2001012011313 - 2¹ = 2001012011311 is a prime.

It is a super-3 number, since 3×2001012011313³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001012011292 and 2001012011301.

It is not an unprimeable number, because it can be changed into a prime (2001012011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071440523 + ... + 2071441488.

It is an arithmetic number, because the mean of its divisors is an integer number (198858336576).

Almost surely, 2^{2001012011313} is an apocalyptic number.

2001012011313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2001012011313 is a deficient number, since it is larger than the sum of its proper divisors (1180721373903).

2001012011313 is a wasteful number, since it uses less digits than its factorization.

2001012011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142882044.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2001012011313 its reverse (3131102101002), we get a palindrome (5132114112315).

The spelling of 2001012011313 in words is "two trillion, one billion, twelve million, eleven thousand, three hundred thirteen".