10102132120313 has 8 divisors (see below), whose sum is σ = 10834461460800. Its totient is φ = 9389866597488.

The previous prime is 10102132120291. The next prime is 10102132120319. The reversal of 10102132120313 is 31302123120101.

It is a happy number.

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 10102132120313 - 2⁸ = 10102132120057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102132120319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5015953373 + ... + 5015955386.

It is an arithmetic number, because the mean of its divisors is an integer number (1354307682600).

Almost surely, 2^{10102132120313} is an apocalyptic number.

It is an amenable number.

10102132120313 is a deficient number, since it is larger than the sum of its proper divisors (732329340487).

10102132120313 is a wasteful number, since it uses less digits than its factorization.

10102132120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031908831.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10102132120313 its reverse (31302123120101), we get a palindrome (41404255240414).

The spelling of 10102132120313 in words is "ten trillion, one hundred two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred thirteen".