101345411514313 has 2 divisors, whose sum is σ = 101345411514314. Its totient is φ = 101345411514312.

The previous prime is 101345411514233. The next prime is 101345411514359. The reversal of 101345411514313 is 313415114543101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90020113579449 + 11325297934864 = 9487893^2 + 3365308^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101345411514313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101345411514013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50672705757156 + 50672705757157.

It is an arithmetic number, because the mean of its divisors is an integer number (50672705757157).

Almost surely, 2^{101345411514313} is an apocalyptic number.

It is an amenable number.

101345411514313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101345411514313 is an equidigital number, since it uses as much as digits as its factorization.

101345411514313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 101345411514313 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, five hundred fourteen thousand, three hundred thirteen".