1013133041340 has 192 divisors, whose sum is σ = 3267235184640. Its totient is φ = 229776134400.

The previous prime is 1013133041329. The next prime is 1013133041357. The reversal of 1013133041340 is 431403313101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013133041340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58274289 + ... + 58291671.

It is an arithmetic number, because the mean of its divisors is an integer number (17016849920).

Almost surely, 2^{1013133041340} is an apocalyptic number.

1013133041340 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 1013133041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633617592320).

1013133041340 is an abundant number, since it is smaller than the sum of its proper divisors (2254102143300).

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

1013133041340 is a wasteful number, since it uses less digits than its factorization.

1013133041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1013133041340 its reverse (431403313101), we get a palindrome (1444536354441).

The spelling of 1013133041340 in words is "one trillion, thirteen billion, one hundred thirty-three million, forty-one thousand, three hundred forty".