102133213 has 24 divisors (see below), whose sum is σ = 128905728. Its totient is φ = 78799392.

The previous prime is 102133211. The next prime is 102133217. The reversal of 102133213 is 312331201.

It is not a de Polignac number, because 102133213 - 2¹ = 102133211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133211) 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, 167956 + ... + 168562.

It is an arithmetic number, because the mean of its divisors is an integer number (5371072).

Almost surely, 2^102133213 is an apocalyptic number.

102133213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102133213 is a deficient number, since it is larger than the sum of its proper divisors (26772515).

102133213 is an equidigital number, since it uses as much as digits as its factorization.

102133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 102133213 is about 10106.0978127069. The cubic root of 102133213 is about 467.4361879216.

Adding to 102133213 its reverse (312331201), we get a palindrome (414464414).

The spelling of 102133213 in words is "one hundred two million, one hundred thirty-three thousand, two hundred thirteen".