2130263321013 has 20 divisors (see below), whose sum is σ = 3291977804940. Its totient is φ = 1371203975232.

The previous prime is 2130263320981. The next prime is 2130263321029. The reversal of 2130263321013 is 3101233620312.

2130263321013 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 633 + 2 + 10 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1679219447409 + 451043873604 = 1295847^2 + 671598^2 .

It is not a de Polignac number, because 2130263321013 - 2⁵ = 2130263320981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130263321033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 453438120 + ... + 453442817.

It is an arithmetic number, because the mean of its divisors is an integer number (164598890247).

Almost surely, 2^{2130263321013} is an apocalyptic number.

It is an amenable number.

2130263321013 is a deficient number, since it is larger than the sum of its proper divisors (1161714483927).

2130263321013 is an equidigital number, since it uses as much as digits as its factorization.

2130263321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906880978 (or 906880969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2130263321013 its reverse (3101233620312), we get a palindrome (5231496941325).

The spelling of 2130263321013 in words is "two trillion, one hundred thirty billion, two hundred sixty-three million, three hundred twenty-one thousand, thirteen".