102102001313 has 16 divisors (see below), whose sum is σ = 113041583760. Its totient is φ = 91608350976.

The previous prime is 102102001307. The next prime is 102102001403. The reversal of 102102001313 is 313100201201.

It can be written as a sum of positive squares in 8 ways, for example, as 12595123984 + 89506877329 = 112228^2 + 299177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102102001313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102001613) 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, 373103 + ... + 586011.

It is an arithmetic number, because the mean of its divisors is an integer number (7065098985).

Almost surely, 2^102102001313 is an apocalyptic number.

102102001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102102001313 is a deficient number, since it is larger than the sum of its proper divisors (10939582447).

102102001313 is a wasteful number, since it uses less digits than its factorization.

102102001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213956.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102102001313 its reverse (313100201201), we get a palindrome (415202202514).

The spelling of 102102001313 in words is "one hundred two billion, one hundred two million, one thousand, three hundred thirteen".