10213312131331 has 2 divisors, whose sum is σ = 10213312131332. Its totient is φ = 10213312131330.

The previous prime is 10213312131293. The next prime is 10213312131361. The reversal of 10213312131331 is 13313121331201.

10213312131331 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 a cyclic number.

It is not a de Polignac number, because 10213312131331 - 2⁷ = 10213312131203 is a prime.

It is a super-2 number, since 2×10213312131331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213312131296 and 10213312131305.

It is not a weakly prime, because it can be changed into another prime (10213312131361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106656065665 + 5106656065666.

It is an arithmetic number, because the mean of its divisors is an integer number (5106656065666).

Almost surely, 2^{10213312131331} is an apocalyptic number.

10213312131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213312131331 is an equidigital number, since it uses as much as digits as its factorization.

10213312131331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10213312131331 its reverse (13313121331201), we get a palindrome (23526433462532).

The spelling of 10213312131331 in words is "ten trillion, two hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-one".