2013200590129 has 3 divisors (see below), whose sum is σ = 2013202009003. Its totient is φ = 2013199171256.

The previous prime is 2013200590117. The next prime is 2013200590147. The reversal of 2013200590129 is 9210950023102.

The square root of 2013200590129 is 1418873.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1111369266225 + 901831323904 = 1054215^2 + 949648^2 .

It is not a de Polignac number, because 2013200590129 - 2⁷ = 2013200590001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013200590094 and 2013200590103.

It is not an unprimeable number, because it can be changed into a prime (2013200590229) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 709437 + ... + 2128309.

Almost surely, 2^{2013200590129} is an apocalyptic number.

2013200590129 is the 1418873-rd square number.

2013200590129 is the 709437-th centered octagonal number.

It is an amenable number.

2013200590129 is a deficient number, since it is larger than the sum of its proper divisors (1418874).

2013200590129 is an frugal number, since it uses more digits than its factorization.

2013200590129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837746 (or 1418873 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 2013200590129 in words is "two trillion, thirteen billion, two hundred million, five hundred ninety thousand, one hundred twenty-nine".