1038138351700 has 18 divisors (see below), whose sum is σ = 2252760223406. Its totient is φ = 415255340640.

The previous prime is 1038138351689. The next prime is 1038138351707. The reversal of 1038138351700 is 71538318301.

1038138351700 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 3 ways, for example, as 299233068484 + 738905283216 = 547022^2 + 859596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038138351707) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5190691659 + ... + 5190691858.

Almost surely, 2^{1038138351700} is an apocalyptic number.

1038138351700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038138351700 is an abundant number, since it is smaller than the sum of its proper divisors (1214621871706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1038138351700 is a wasteful number, since it uses less digits than its factorization.

1038138351700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381383531 (or 10381383524 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 1038138351700 in words is "one trillion, thirty-eight billion, one hundred thirty-eight million, three hundred fifty-one thousand, seven hundred".