102133213301 has 32 divisors (see below), whose sum is σ = 125847321600. Its totient is φ = 80927320320.

The previous prime is 102133213267. The next prime is 102133213307. The reversal of 102133213301 is 103312331201.

It is not a de Polignac number, because 102133213301 - 2³⁴ = 84953344117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133213307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6231245 + ... + 6247613.

It is an arithmetic number, because the mean of its divisors is an integer number (3932728800).

Almost surely, 2^102133213301 is an apocalyptic number.

It is an amenable number.

102133213301 is a deficient number, since it is larger than the sum of its proper divisors (23714108299).

102133213301 is a wasteful number, since it uses less digits than its factorization.

102133213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17529.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102133213301 its reverse (103312331201), we get a palindrome (205445544502).

The spelling of 102133213301 in words is "one hundred two billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred one".