313100102120093 has 2 divisors, whose sum is σ = 313100102120094. Its totient is φ = 313100102120092.

The previous prime is 313100102120081. The next prime is 313100102120129. The reversal of 313100102120093 is 390021201001313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170839068173764 + 142261033946329 = 13070542^2 + 11927323^2 .

It is a cyclic number.

It is not a de Polignac number, because 313100102120093 - 2⁴ = 313100102120077 is a prime.

It is a super-3 number, since 3×313100102120093³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313100102120023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156550051060046 + 156550051060047.

It is an arithmetic number, because the mean of its divisors is an integer number (156550051060047).

Almost surely, 2^{313100102120093} is an apocalyptic number.

It is an amenable number.

313100102120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

313100102120093 is an equidigital number, since it uses as much as digits as its factorization.

313100102120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 313100102120093 in words is "three hundred thirteen trillion, one hundred billion, one hundred two million, one hundred twenty thousand, ninety-three".