1002112231131 has 12 divisors (see below), whose sum is σ = 1579085940120. Its totient is φ = 607340746080.

The previous prime is 1002112231123. The next prime is 1002112231147. The reversal of 1002112231131 is 1311322112001.

1002112231131 is a `hidden beast` number, since 100 + 211 + 223 + 1 + 131 = 666.

It is not a de Polignac number, because 1002112231131 - 2³ = 1002112231123 is a prime.

It is a super-2 number, since 2×1002112231131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002112231111) 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, 5061172786 + ... + 5061172983.

It is an arithmetic number, because the mean of its divisors is an integer number (131590495010).

Almost surely, 2^{1002112231131} is an apocalyptic number.

1002112231131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002112231131 is a deficient number, since it is larger than the sum of its proper divisors (576973708989).

1002112231131 is a wasteful number, since it uses less digits than its factorization.

1002112231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122345786 (or 10122345783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1002112231131 its reverse (1311322112001), we get a palindrome (2313434343132).

The spelling of 1002112231131 in words is "one trillion, two billion, one hundred twelve million, two hundred thirty-one thousand, one hundred thirty-one".