10312121201131 has 2 divisors, whose sum is σ = 10312121201132. Its totient is φ = 10312121201130.

The previous prime is 10312121201113. The next prime is 10312121201153. The reversal of 10312121201131 is 13110212121301.

10312121201131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10312121201113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10312121201131 - 2²³ = 10312112812523 is a prime.

It is a super-2 number, since 2×10312121201131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312121201099 and 10312121201108.

It is not a weakly prime, because it can be changed into another prime (10312121201231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156060600565 + 5156060600566.

It is an arithmetic number, because the mean of its divisors is an integer number (5156060600566).

Almost surely, 2^{10312121201131} is an apocalyptic number.

10312121201131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312121201131 is an equidigital number, since it uses as much as digits as its factorization.

10312121201131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10312121201131 its reverse (13110212121301), we get a palindrome (23422333322432).

The spelling of 10312121201131 in words is "ten trillion, three hundred twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred thirty-one".