10123311010061 has 2 divisors, whose sum is σ = 10123311010062. Its totient is φ = 10123311010060.

The previous prime is 10123311009967. The next prime is 10123311010091. The reversal of 10123311010061 is 16001011332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9771288320836 + 352022689225 = 3125906^2 + 593315^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123311010061 - 2³⁴ = 10106131140877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123311010091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061655505030 + 5061655505031.

It is an arithmetic number, because the mean of its divisors is an integer number (5061655505031).

Almost surely, 2^{10123311010061} is an apocalyptic number.

It is an amenable number.

10123311010061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123311010061 is an equidigital number, since it uses as much as digits as its factorization.

10123311010061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10123311010061 its reverse (16001011332101), we get a palindrome (26124322342162).

The spelling of 10123311010061 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, ten thousand, sixty-one".