2045133513131 has 32 divisors (see below), whose sum is σ = 2205597081600. Its totient is φ = 1891975456800.

The previous prime is 2045133513127. The next prime is 2045133513151. The reversal of 2045133513131 is 1313153315402.

It is a cyclic number.

It is not a de Polignac number, because 2045133513131 - 2² = 2045133513127 is a prime.

It is a super-2 number, since 2×2045133513131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2045133513151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21744356 + ... + 21838206.

It is an arithmetic number, because the mean of its divisors is an integer number (68924908800).

Almost surely, 2^{2045133513131} is an apocalyptic number.

2045133513131 is a deficient number, since it is larger than the sum of its proper divisors (160463568469).

2045133513131 is a wasteful number, since it uses less digits than its factorization.

2045133513131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94199.

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 2045133513131 its reverse (1313153315402), we get a palindrome (3358286828533).

The spelling of 2045133513131 in words is "two trillion, forty-five billion, one hundred thirty-three million, five hundred thirteen thousand, one hundred thirty-one".