102112010100313 has 2 divisors, whose sum is σ = 102112010100314. Its totient is φ = 102112010100312.

The previous prime is 102112010100253. The next prime is 102112010100319. The reversal of 102112010100313 is 313001010211201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62956417202064 + 39155592898249 = 7934508^2 + 6257443^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112010100313 - 2¹³ = 102112010092121 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112010100319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056005050156 + 51056005050157.

It is an arithmetic number, because the mean of its divisors is an integer number (51056005050157).

Almost surely, 2^{102112010100313} is an apocalyptic number.

It is an amenable number.

102112010100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112010100313 is an equidigital number, since it uses as much as digits as its factorization.

102112010100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102112010100313 its reverse (313001010211201), we get a palindrome (415113020311514).

The spelling of 102112010100313 in words is "one hundred two trillion, one hundred twelve billion, ten million, one hundred thousand, three hundred thirteen".