20112013312131 has 128 divisors (see below), whose sum is σ = 31417849774080. Its totient is φ = 11346503680512.

The previous prime is 20112013312123. The next prime is 20112013312141. The reversal of 20112013312131 is 13121331021102.

It is not a de Polignac number, because 20112013312131 - 2³ = 20112013312123 is a prime.

It is a super-2 number, since 2×20112013312131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20112013312098 and 20112013312107.

It is not an unprimeable number, because it can be changed into a prime (20112013312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496658521 + ... + 496699013.

It is an arithmetic number, because the mean of its divisors is an integer number (245451951360).

Almost surely, 2^{20112013312131} is an apocalyptic number.

20112013312131 is a deficient number, since it is larger than the sum of its proper divisors (11305836461949).

20112013312131 is a wasteful number, since it uses less digits than its factorization.

20112013312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40817.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 20112013312131 its reverse (13121331021102), we get a palindrome (33233344333233).

The spelling of 20112013312131 in words is "twenty trillion, one hundred twelve billion, thirteen million, three hundred twelve thousand, one hundred thirty-one".