102401504300213 has 8 divisors (see below), whose sum is σ = 104342689949400. Its totient is φ = 100460655013888.

The previous prime is 102401504300149. The next prime is 102401504300231. The reversal of 102401504300213 is 312003405104201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3780854691364 + 98620649608849 = 1944442^2 + 9930793^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102401504300213 - 2⁶ = 102401504300149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102401504350213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83476028 + ... + 84693861.

It is an arithmetic number, because the mean of its divisors is an integer number (13042836243675).

Almost surely, 2^{102401504300213} is an apocalyptic number.

It is an amenable number.

102401504300213 is a deficient number, since it is larger than the sum of its proper divisors (1941185649187).

102401504300213 is a wasteful number, since it uses less digits than its factorization.

102401504300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168181431.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 102401504300213 its reverse (312003405104201), we get a palindrome (414404909404414).

The spelling of 102401504300213 in words is "one hundred two trillion, four hundred one billion, five hundred four million, three hundred thousand, two hundred thirteen".