102132221031313 has 16 divisors (see below), whose sum is σ = 112945702406400. Its totient is φ = 91575995172480.

The previous prime is 102132221031287. The next prime is 102132221031319. The reversal of 102132221031313 is 313130122231201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102132221031313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132221031319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60834198 + ... + 62490511.

It is an arithmetic number, because the mean of its divisors is an integer number (7059106400400).

Almost surely, 2^{102132221031313} is an apocalyptic number.

It is an amenable number.

102132221031313 is a deficient number, since it is larger than the sum of its proper divisors (10813481375087).

102132221031313 is a wasteful number, since it uses less digits than its factorization.

102132221031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123325752.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102132221031313 its reverse (313130122231201), we get a palindrome (415262343262514).

The spelling of 102132221031313 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty-one thousand, three hundred thirteen".