1013183193120 has 768 divisors, whose sum is σ = 3981997780992. Its totient is φ = 211269058560.

The previous prime is 1013183193107. The next prime is 1013183193131. The reversal of 1013183193120 is 213913813101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336492415 + ... + 336495425.

It is an arithmetic number, because the mean of its divisors is an integer number (5184892944).

Almost surely, 2^{1013183193120} is an apocalyptic number.

1013183193120 is a gapful number since it is divisible by the number (10) 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 1013183193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990998890496).

1013183193120 is an abundant number, since it is smaller than the sum of its proper divisors (2968814587872).

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

1013183193120 is a wasteful number, since it uses less digits than its factorization.

1013183193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 1013183193120 in words is "one trillion, thirteen billion, one hundred eighty-three million, one hundred ninety-three thousand, one hundred twenty".