10122232033013 has 16 divisors (see below), whose sum is σ = 10615543510320. Its totient is φ = 9638559350784.

The previous prime is 10122232033007. The next prime is 10122232033037. The reversal of 10122232033013 is 31033023222101.

10122232033013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 868023895684 + 9254208137329 = 931678^2 + 3042073^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122232033013 - 2⁶ = 10122232032949 is a prime.

It is a super-2 number, since 2×10122232033013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122232033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122232033093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28004045 + ... + 28363197.

It is an arithmetic number, because the mean of its divisors is an integer number (663471469395).

Almost surely, 2^{10122232033013} is an apocalyptic number.

It is an amenable number.

10122232033013 is a deficient number, since it is larger than the sum of its proper divisors (493311477307).

10122232033013 is a wasteful number, since it uses less digits than its factorization.

10122232033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372568.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10122232033013 its reverse (31033023222101), we get a palindrome (41155255255114).

The spelling of 10122232033013 in words is "ten trillion, one hundred twenty-two billion, two hundred thirty-two million, thirty-three thousand, thirteen".