1010138313792 has 168 divisors, whose sum is σ = 2773722159936. Its totient is φ = 324429572096.

The previous prime is 1010138313749. The next prime is 1010138313797. The reversal of 1010138313792 is 2973138310101.

1010138313792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010138313792.

It is not an unprimeable number, because it can be changed into a prime (1010138313797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81214198 + ... + 81226634.

It is an arithmetic number, because the mean of its divisors is an integer number (16510250952).

Almost surely, 2^{1010138313792} is an apocalyptic number.

1010138313792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010138313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386861079968).

1010138313792 is an abundant number, since it is smaller than the sum of its proper divisors (1763583846144).

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

1010138313792 is a wasteful number, since it uses less digits than its factorization.

1010138313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 1010138313792 in words is "one trillion, ten billion, one hundred thirty-eight million, three hundred thirteen thousand, seven hundred ninety-two".