10131123085949 has 2 divisors, whose sum is σ = 10131123085950. Its totient is φ = 10131123085948.

The previous prime is 10131123085907. The next prime is 10131123086003. The reversal of 10131123085949 is 94958032113101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9757545421849 + 373577664100 = 3123707^2 + 611210^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131123085949 - 2²⁰ = 10131122037373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131123085049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065561542974 + 5065561542975.

It is an arithmetic number, because the mean of its divisors is an integer number (5065561542975).

Almost surely, 2^{10131123085949} is an apocalyptic number.

It is an amenable number.

10131123085949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131123085949 is an equidigital number, since it uses as much as digits as its factorization.

10131123085949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 10131123085949 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, eighty-five thousand, nine hundred forty-nine".