101313022009253 has 2 divisors, whose sum is σ = 101313022009254. Its totient is φ = 101313022009252.

The previous prime is 101313022009211. The next prime is 101313022009273. The reversal of 101313022009253 is 352900220313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66386612248804 + 34926409760449 = 8147798^2 + 5909857^2 .

It is a cyclic number.

It is not a de Polignac number, because 101313022009253 - 2³⁴ = 101295842140069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313022009273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656511004626 + 50656511004627.

It is an arithmetic number, because the mean of its divisors is an integer number (50656511004627).

Almost surely, 2^{101313022009253} is an apocalyptic number.

It is an amenable number.

101313022009253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313022009253 is an equidigital number, since it uses as much as digits as its factorization.

101313022009253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 101313022009253 in words is "one hundred one trillion, three hundred thirteen billion, twenty-two million, nine thousand, two hundred fifty-three".