1010793707136 has 320 divisors, whose sum is σ = 3096487342080. Its totient is φ = 327145900032.

The previous prime is 1010793707023. The next prime is 1010793707149. The reversal of 1010793707136 is 6317073970101.

It is a junction number, because it is equal to n+sod(n) for n = 1010793707091 and 1010793707100.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61878426 + ... + 61894758.

It is an arithmetic number, because the mean of its divisors is an integer number (9676522944).

Almost surely, 2^{1010793707136} is an apocalyptic number.

1010793707136 is a gapful number since it is divisible by the number (16) 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 1010793707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548243671040).

1010793707136 is an abundant number, since it is smaller than the sum of its proper divisors (2085693634944).

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

1010793707136 is a wasteful number, since it uses less digits than its factorization.

1010793707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 1010793707136 in words is "one trillion, ten billion, seven hundred ninety-three million, seven hundred seven thousand, one hundred thirty-six".