102321200000213 has 4 divisors (see below), whose sum is σ = 102325274781408. Its totient is φ = 102317125219020.

The previous prime is 102321200000209. The next prime is 102321200000249. The reversal of 102321200000213 is 312000002123201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102321200000213 - 2² = 102321200000209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102321200000191 and 102321200000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321200500213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2037352931 + ... + 2037403152.

It is an arithmetic number, because the mean of its divisors is an integer number (25581318695352).

Almost surely, 2^{102321200000213} is an apocalyptic number.

It is an amenable number.

102321200000213 is a deficient number, since it is larger than the sum of its proper divisors (4074781195).

102321200000213 is an equidigital number, since it uses as much as digits as its factorization.

102321200000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074781194.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102321200000213 its reverse (312000002123201), we get a palindrome (414321202123414).

The spelling of 102321200000213 in words is "one hundred two trillion, three hundred twenty-one billion, two hundred million, two hundred thirteen", and thus it is an aban number.