20000201013 has 48 divisors (see below), whose sum is σ = 31409305200. Its totient is φ = 12190464000.

The previous prime is 20000201009. The next prime is 20000201017. The reversal of 20000201013 is 31010200002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20000201009) and next prime (20000201017).

It can be written as a sum of positive squares in 8 ways, for example, as 33663204 + 19966537809 = 5802^2 + 141303^2 .

It is not a de Polignac number, because 20000201013 - 2² = 20000201009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000200986 and 20000201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000201017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6989203 + ... + 6992063.

It is an arithmetic number, because the mean of its divisors is an integer number (654360525).

Almost surely, 2^20000201013 is an apocalyptic number.

It is an amenable number.

20000201013 is a deficient number, since it is larger than the sum of its proper divisors (11409104187).

20000201013 is a wasteful number, since it uses less digits than its factorization.

20000201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20000201013 its reverse (31010200002), we get a palindrome (51010401015).

The spelling of 20000201013 in words is "twenty billion, two hundred one thousand, thirteen".