10042033125313 has 12 divisors (see below), whose sum is σ = 12296367093360. Its totient is φ = 8154432913032.

The previous prime is 10042033125301. The next prime is 10042033125329. The reversal of 10042033125313 is 31352133024001.

It is a de Polignac number, because none of the positive numbers 2^k-10042033125313 is a prime.

It is a super-2 number, since 2×10042033125313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10042033125373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5393142531 + ... + 5393144392.

It is an arithmetic number, because the mean of its divisors is an integer number (1024697257780).

Almost surely, 2^{10042033125313} is an apocalyptic number.

It is an amenable number.

10042033125313 is a deficient number, since it is larger than the sum of its proper divisors (2254333968047).

10042033125313 is a wasteful number, since it uses less digits than its factorization.

10042033125313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786286956 (or 10786286949 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 10042033125313 its reverse (31352133024001), we get a palindrome (41394166149314).

The spelling of 10042033125313 in words is "ten trillion, forty-two billion, thirty-three million, one hundred twenty-five thousand, three hundred thirteen".