2001011233013 has 16 divisors (see below), whose sum is σ = 2215221878016. Its totient is φ = 1796125726080.

The previous prime is 2001011232931. The next prime is 2001011233087. The reversal of 2001011233013 is 3103321101002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001011233013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001011232982 and 2001011233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001011239013) 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, 14781545 + ... + 14916302.

It is an arithmetic number, because the mean of its divisors is an integer number (138451367376).

Almost surely, 2^{2001011233013} is an apocalyptic number.

It is an amenable number.

2001011233013 is a deficient number, since it is larger than the sum of its proper divisors (214210645003).

2001011233013 is a wasteful number, since it uses less digits than its factorization.

2001011233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29698004.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2001011233013 its reverse (3103321101002), we get a palindrome (5104332334015).

The spelling of 2001011233013 in words is "two trillion, one billion, eleven million, two hundred thirty-three thousand, thirteen".