10201313333131 has 2 divisors, whose sum is σ = 10201313333132. Its totient is φ = 10201313333130.

The previous prime is 10201313333117. The next prime is 10201313333173. The reversal of 10201313333131 is 13133331310201.

10201313333131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (13133331310201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201313333131 - 2²⁷ = 10201179115403 is a prime.

It is a super-2 number, since 2×10201313333131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201313333096 and 10201313333105.

It is not a weakly prime, because it can be changed into another prime (10201313333191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100656666565 + 5100656666566.

It is an arithmetic number, because the mean of its divisors is an integer number (5100656666566).

Almost surely, 2^{10201313333131} is an apocalyptic number.

10201313333131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201313333131 is an equidigital number, since it uses as much as digits as its factorization.

10201313333131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10201313333131 its reverse (13133331310201), we get a palindrome (23334644643332).

The spelling of 10201313333131 in words is "ten trillion, two hundred one billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred thirty-one".