10123881013 has 2 divisors, whose sum is σ = 10123881014. Its totient is φ = 10123881012.

The previous prime is 10123880993. The next prime is 10123881049. The reversal of 10123881013 is 31018832101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5378462244 + 4745418769 = 73338^2 + 68887^2 .

It is an emirp because it is prime and its reverse (31018832101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123881013 - 2¹³ = 10123872821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123881113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061940506 + 5061940507.

It is an arithmetic number, because the mean of its divisors is an integer number (5061940507).

Almost surely, 2^10123881013 is an apocalyptic number.

It is an amenable number.

10123881013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123881013 is an equidigital number, since it uses as much as digits as its factorization.

10123881013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

It can be divided in two parts, 10123 and 881013, that added together give a square (891136 = 944²).

The spelling of 10123881013 in words is "ten billion, one hundred twenty-three million, eight hundred eighty-one thousand, thirteen".