1007112131 has 2 divisors, whose sum is σ = 1007112132. Its totient is φ = 1007112130.

The previous prime is 1007112121. The next prime is 1007112143. The reversal of 1007112131 is 1312117001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1007112131 - 2¹⁰ = 1007111107 is a prime.

It is a super-2 number, since 2×1007112131² = 2028549688814722322, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (1007112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503556065 + 503556066.

It is an arithmetic number, because the mean of its divisors is an integer number (503556066).

Almost surely, 2^1007112131 is an apocalyptic number.

1007112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007112131 is an equidigital number, since it uses as much as digits as its factorization.

1007112131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 1007112131 is about 31735.0300299212. The cubic root of 1007112131 is about 1002.3651121678.

Adding to 1007112131 its reverse (1312117001), we get a palindrome (2319229132).

The spelling of 1007112131 in words is "one billion, seven million, one hundred twelve thousand, one hundred thirty-one".