140013042101000 has 256 divisors, whose sum is σ = 354255316646400. Its totient is φ = 51614817408000.

The previous prime is 140013042100979. The next prime is 140013042101027. The reversal of 140013042101000 is 101240310041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 140013042101000.

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, 5336459882 + ... + 5336486118.

It is an arithmetic number, because the mean of its divisors is an integer number (1383809830650).

Almost surely, 2^{140013042101000} is an apocalyptic number.

140013042101000 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 140013042101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177127658323200).

140013042101000 is an abundant number, since it is smaller than the sum of its proper divisors (214242274545400).

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

140013042101000 is a wasteful number, since it uses less digits than its factorization.

140013042101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33905 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 140013042101000 its reverse (101240310041), we get a palindrome (140114282411041).

The spelling of 140013042101000 in words is "one hundred forty trillion, thirteen billion, forty-two million, one hundred one thousand".