10212131313 has 24 divisors (see below), whose sum is σ = 15155673000. Its totient is φ = 6621398784.

The previous prime is 10212131309. The next prime is 10212131323. The reversal of 10212131313 is 31313121201.

10212131313 is a `hidden beast` number, since 10 + 212 + 131 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8175233889 + 2036897424 = 90417^2 + 45132^2 .

It is not a de Polignac number, because 10212131313 - 2² = 10212131309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212131323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124013 + ... + 1133061.

It is an arithmetic number, because the mean of its divisors is an integer number (631486375).

Almost surely, 2^10212131313 is an apocalyptic number.

It is an amenable number.

10212131313 is a deficient number, since it is larger than the sum of its proper divisors (4943541687).

10212131313 is a wasteful number, since it uses less digits than its factorization.

10212131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10212131313 its reverse (31313121201), we get a palindrome (41525252514).

The spelling of 10212131313 in words is "ten billion, two hundred twelve million, one hundred thirty-one thousand, three hundred thirteen".