102131533 has 24 divisors (see below), whose sum is σ = 125972280. Its totient is φ = 82414080.

The previous prime is 102131531. The next prime is 102131539. The reversal of 102131533 is 335131201.

It can be written as a sum of positive squares in 4 ways, for example, as 3467044 + 98664489 = 1862^2 + 9933^2 .

It is not a de Polignac number, because 102131533 - 2¹ = 102131531 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102131533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131531) 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, 57385 + ... + 59137.

It is an arithmetic number, because the mean of its divisors is an integer number (5248845).

Almost surely, 2^102131533 is an apocalyptic number.

It is an amenable number.

102131533 is a deficient number, since it is larger than the sum of its proper divisors (23840747).

102131533 is a wasteful number, since it uses less digits than its factorization.

102131533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 102131533 is about 10106.0146942304. The cubic root of 102131533 is about 467.4336249385.

Adding to 102131533 its reverse (335131201), we get a palindrome (437262734).

The spelling of 102131533 in words is "one hundred two million, one hundred thirty-one thousand, five hundred thirty-three".