103131527 has 2 divisors, whose sum is σ = 103131528. Its totient is φ = 103131526.

The previous prime is 103131499. The next prime is 103131529. The reversal of 103131527 is 725131301.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 103131527 - 2²⁴ = 86354311 is a prime.

It is a super-2 number, since 2×103131527² = 21272223722703458, which contains 22 as substring.

Together with 103131529, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103131529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51565763 + 51565764.

It is an arithmetic number, because the mean of its divisors is an integer number (51565764).

Almost surely, 2^103131527 is an apocalyptic number.

103131527 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131527 is an equidigital number, since it uses as much as digits as its factorization.

103131527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 103131527 is about 10155.3693679748. The cubic root of 103131527 is about 468.9542571275.

Adding to 103131527 its reverse (725131301), we get a palindrome (828262828).

The spelling of 103131527 in words is "one hundred three million, one hundred thirty-one thousand, five hundred twenty-seven".