10121213311313 has 8 divisors (see below), whose sum is σ = 10936968759528. Its totient is φ = 9310772231424.

The previous prime is 10121213311241. The next prime is 10121213311331. The reversal of 10121213311313 is 31311331212101.

It can be written as a sum of positive squares in 4 ways, for example, as 483870489664 + 9637342821649 = 695608^2 + 3104407^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121213311313 - 2¹² = 10121213307217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121213311343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1328588120 + ... + 1328595737.

It is an arithmetic number, because the mean of its divisors is an integer number (1367121094941).

Almost surely, 2^{10121213311313} is an apocalyptic number.

10121213311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10121213311313 is a deficient number, since it is larger than the sum of its proper divisors (815755448215).

10121213311313 is a wasteful number, since it uses less digits than its factorization.

10121213311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657184163.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10121213311313 its reverse (31311331212101), we get a palindrome (41432544523414).

The spelling of 10121213311313 in words is "ten trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred eleven thousand, three hundred thirteen".