101310301301129 has 2 divisors, whose sum is σ = 101310301301130. Its totient is φ = 101310301301128.

The previous prime is 101310301301107. The next prime is 101310301301197. The reversal of 101310301301129 is 921103103013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56694273793600 + 44616027507529 = 7529560^2 + 6679523^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310301301129 - 2¹² = 101310301297033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310301301098 and 101310301301107.

It is not a weakly prime, because it can be changed into another prime (101310301300129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655150650564 + 50655150650565.

It is an arithmetic number, because the mean of its divisors is an integer number (50655150650565).

Almost surely, 2^{101310301301129} is an apocalyptic number.

It is an amenable number.

101310301301129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310301301129 is an equidigital number, since it uses as much as digits as its factorization.

101310301301129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 101310301301129 in words is "one hundred one trillion, three hundred ten billion, three hundred one million, three hundred one thousand, one hundred twenty-nine".