11131003112031 has 24 divisors (see below), whose sum is σ = 18571513216464. Its totient is φ = 6349235285760.

The previous prime is 11131003112011. The next prime is 11131003112057. The reversal of 11131003112031 is 13021130013111.

11131003112031 is a `hidden beast` number, since 1 + 11 + 310 + 0 + 311 + 2 + 0 + 31 = 666.

It is not a de Polignac number, because 11131003112031 - 2¹³ = 11131003103839 is a prime.

It is a super-2 number, since 2×11131003112031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131003111995 and 11131003112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131003112011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306891696 + ... + 3306895061.

It is an arithmetic number, because the mean of its divisors is an integer number (773813050686).

Almost surely, 2^{11131003112031} is an apocalyptic number.

11131003112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11131003112031 is a deficient number, since it is larger than the sum of its proper divisors (7440510104433).

11131003112031 is a wasteful number, since it uses less digits than its factorization.

11131003112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613786791 (or 6613786788 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11131003112031 its reverse (13021130013111), we get a palindrome (24152133125142).

The spelling of 11131003112031 in words is "eleven trillion, one hundred thirty-one billion, three million, one hundred twelve thousand, thirty-one".