2132113012013 has 8 divisors (see below), whose sum is σ = 2136441261240. Its totient is φ = 2127786557440.

The previous prime is 2132113011961. The next prime is 2132113012067. The reversal of 2132113012013 is 3102103112312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303092089444 + 1829020922569 = 550538^2 + 1352413^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2132113012013 - 2¹⁸ = 2132112749869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132113002013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1942733 + ... + 2835213.

It is an arithmetic number, because the mean of its divisors is an integer number (267055157655).

Almost surely, 2^{2132113012013} is an apocalyptic number.

It is an amenable number.

2132113012013 is a deficient number, since it is larger than the sum of its proper divisors (4328249227).

2132113012013 is an equidigital number, since it uses as much as digits as its factorization.

2132113012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897327.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2132113012013 its reverse (3102103112312), we get a palindrome (5234216124325).

The spelling of 2132113012013 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, twelve thousand, thirteen".