10210101233131 has 2 divisors, whose sum is σ = 10210101233132. Its totient is φ = 10210101233130.

The previous prime is 10210101233051. The next prime is 10210101233141. The reversal of 10210101233131 is 13133210101201.

10210101233131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13133210101201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10210101233131 - 2¹⁷ = 10210101102059 is a prime.

It is a super-2 number, since 2×10210101233131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210101233099 and 10210101233108.

It is not a weakly prime, because it can be changed into another prime (10210101233141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105050616565 + 5105050616566.

It is an arithmetic number, because the mean of its divisors is an integer number (5105050616566).

Almost surely, 2^{10210101233131} is an apocalyptic number.

10210101233131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210101233131 is an equidigital number, since it uses as much as digits as its factorization.

10210101233131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10210101233131 its reverse (13133210101201), we get a palindrome (23343311334332).

The spelling of 10210101233131 in words is "ten trillion, two hundred ten billion, one hundred one million, two hundred thirty-three thousand, one hundred thirty-one".