313034121002129 has 2 divisors, whose sum is σ = 313034121002130. Its totient is φ = 313034121002128.

The previous prime is 313034121002059. The next prime is 313034121002137. The reversal of 313034121002129 is 921200121430313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168740619600400 + 144293501401729 = 12990020^2 + 12012223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313034121002129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313034121002095 and 313034121002104.

It is not a weakly prime, because it can be changed into another prime (313034121002179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156517060501064 + 156517060501065.

It is an arithmetic number, because the mean of its divisors is an integer number (156517060501065).

Almost surely, 2^{313034121002129} is an apocalyptic number.

It is an amenable number.

313034121002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034121002129 is an equidigital number, since it uses as much as digits as its factorization.

313034121002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 313034121002129 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty-one million, two thousand, one hundred twenty-nine".