1013135420000 has 360 divisors, whose sum is σ = 2806747347096. Its totient is φ = 359392000000.

The previous prime is 1013135419999. The next prime is 1013135420021. The reversal of 1013135420000 is 245313101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99214895 + ... + 99225105.

Almost surely, 2^{1013135420000} is an apocalyptic number.

1013135420000 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 1013135420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403373673548).

1013135420000 is an abundant number, since it is smaller than the sum of its proper divisors (1793611927096).

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

1013135420000 is a wasteful number, since it uses less digits than its factorization.

1013135420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 1013135420000 in words is "one trillion, thirteen billion, one hundred thirty-five million, four hundred twenty thousand".