102132213 has 16 divisors (see below), whose sum is σ = 142581120. Its totient is φ = 64905984.

The previous prime is 102132211. The next prime is 102132223. The reversal of 102132213 is 312231201.

It is not a de Polignac number, because 102132213 - 2¹ = 102132211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102132192 and 102132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19233 + ... + 23961.

It is an arithmetic number, because the mean of its divisors is an integer number (8911320).

Almost surely, 2^102132213 is an apocalyptic number.

It is an amenable number.

102132213 is a deficient number, since it is larger than the sum of its proper divisors (40448907).

102132213 is a wasteful number, since it uses less digits than its factorization.

102132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102132213 is about 10106.0483375056. The cubic root of 102132213 is about 467.4346623398.

Adding to 102132213 its reverse (312231201), we get a palindrome (414363414).

The spelling of 102132213 in words is "one hundred two million, one hundred thirty-two thousand, two hundred thirteen".