2130201011013 has 8 divisors (see below), whose sum is σ = 2840288532576. Its totient is φ = 1420123748400.

The previous prime is 2130201010997. The next prime is 2130201011131. The reversal of 2130201011013 is 3101101020312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2130201011013 - 2⁴ = 2130201010997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130201010983 and 2130201011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130201511013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2066403 + ... + 2920688.

It is an arithmetic number, because the mean of its divisors is an integer number (355036066572).

Almost surely, 2^{2130201011013} is an apocalyptic number.

It is an amenable number.

2130201011013 is a deficient number, since it is larger than the sum of its proper divisors (710087521563).

2130201011013 is a wasteful number, since it uses less digits than its factorization.

2130201011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129475.

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

Adding to 2130201011013 its reverse (3101101020312), we get a palindrome (5231302031325).

The spelling of 2130201011013 in words is "two trillion, one hundred thirty billion, two hundred one million, eleven thousand, thirteen".