2134132013313 has 8 divisors (see below), whose sum is σ = 3161677056800. Its totient is φ = 1422754675524.

The previous prime is 2134132013303. The next prime is 2134132013327. The reversal of 2134132013313 is 3133102314312.

2134132013313 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 320 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 2134132013313 - 2⁴ = 2134132013297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 79041926419 = 2134132013313 / (2 + 1 + 3 + 4 + 1 + 3 + 2 + 0 + 1 + 3 + 3 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2134132013303) 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, 39520963183 + ... + 39520963236.

It is an arithmetic number, because the mean of its divisors is an integer number (395209632100).

Almost surely, 2^{2134132013313} is an apocalyptic number.

It is an amenable number.

2134132013313 is a deficient number, since it is larger than the sum of its proper divisors (1027545043487).

2134132013313 is an equidigital number, since it uses as much as digits as its factorization.

2134132013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79041926428 (or 79041926422 counting only the distinct ones).

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

Adding to 2134132013313 its reverse (3133102314312), we get a palindrome (5267234327625).

The spelling of 2134132013313 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-two million, thirteen thousand, three hundred thirteen".