10102133113013 has 2 divisors, whose sum is σ = 10102133113014. Its totient is φ = 10102133113012.

The previous prime is 10102133112997. The next prime is 10102133113091. The reversal of 10102133113013 is 31031133120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9994747133809 + 107385979204 = 3161447^2 + 327698^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102133113013 - 2⁴ = 10102133112997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102133113313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051066556506 + 5051066556507.

It is an arithmetic number, because the mean of its divisors is an integer number (5051066556507).

Almost surely, 2^{10102133113013} is an apocalyptic number.

It is an amenable number.

10102133113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102133113013 is an equidigital number, since it uses as much as digits as its factorization.

10102133113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10102133113013 its reverse (31031133120101), we get a palindrome (41133266233114).

The spelling of 10102133113013 in words is "ten trillion, one hundred two billion, one hundred thirty-three million, one hundred thirteen thousand, thirteen".