10312435013241 has 32 divisors (see below), whose sum is σ = 14836691681280. Its totient is φ = 6349938537600.

The previous prime is 10312435013239. The next prime is 10312435013269. The reversal of 10312435013241 is 14231053421301.

It is not a de Polignac number, because 10312435013241 - 2¹ = 10312435013239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312435013199 and 10312435013208.

It is not an unprimeable number, because it can be changed into a prime (10312435013941) 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 31 ways as a sum of consecutive naturals, for example, 1937836 + ... + 4937618.

It is an arithmetic number, because the mean of its divisors is an integer number (463646615040).

Almost surely, 2^{10312435013241} is an apocalyptic number.

It is an amenable number.

10312435013241 is a deficient number, since it is larger than the sum of its proper divisors (4524256668039).

10312435013241 is a wasteful number, since it uses less digits than its factorization.

10312435013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001317.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10312435013241 its reverse (14231053421301), we get a palindrome (24543488434542).

The spelling of 10312435013241 in words is "ten trillion, three hundred twelve billion, four hundred thirty-five million, thirteen thousand, two hundred forty-one".