10121231313 has 20 divisors (see below), whose sum is σ = 15184288548. Its totient is φ = 6718515840.

The previous prime is 10121231303. The next prime is 10121231321. The reversal of 10121231313 is 31313212101.

10121231313 is a `hidden beast` number, since 1 + 0 + 121 + 231 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3425409729 + 6695821584 = 58527^2 + 81828^2 .

It is not a de Polignac number, because 10121231313 - 2⁶ = 10121231249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121231303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249268 + ... + 287013.

Almost surely, 2^10121231313 is an apocalyptic number.

It is an amenable number.

10121231313 is a deficient number, since it is larger than the sum of its proper divisors (5063057235).

10121231313 is an equidigital number, since it uses as much as digits as its factorization.

10121231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536526 (or 536517 counting only the distinct ones).

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

Adding to 10121231313 its reverse (31313212101), we get a palindrome (41434443414).

The spelling of 10121231313 in words is "ten billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred thirteen".