10111301131131 has 12 divisors (see below), whose sum is σ = 14605240497120. Its totient is φ = 6740854612080.

The previous prime is 10111301131123. The next prime is 10111301131213. The reversal of 10111301131131 is 13113110311101.

10111301131131 is a `hidden beast` number, since 10 + 1 + 11 + 301 + 1 + 311 + 31 = 666.

It is not a de Polignac number, because 10111301131131 - 2³ = 10111301131123 is a prime.

It is a super-2 number, since 2×10111301131131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111301131121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7877041 + ... + 9070301.

It is an arithmetic number, because the mean of its divisors is an integer number (1217103374760).

Almost surely, 2^{10111301131131} is an apocalyptic number.

10111301131131 is a deficient number, since it is larger than the sum of its proper divisors (4493939365989).

10111301131131 is a wasteful number, since it uses less digits than its factorization.

10111301131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134786 (or 2134783 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 10111301131131 its reverse (13113110311101), we get a palindrome (23224411442232).

The spelling of 10111301131131 in words is "ten trillion, one hundred eleven billion, three hundred one million, one hundred thirty-one thousand, one hundred thirty-one".