1013143242000 has 320 divisors, whose sum is σ = 3327787008000. Its totient is φ = 265133606400.

The previous prime is 1013143241993. The next prime is 1013143242011. The reversal of 1013143242000 is 2423413101.

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, 79151601 + ... + 79164399.

It is an arithmetic number, because the mean of its divisors is an integer number (10399334400).

Almost surely, 2^{1013143242000} is an apocalyptic number.

1013143242000 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 1013143242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663893504000).

1013143242000 is an abundant number, since it is smaller than the sum of its proper divisors (2314643766000).

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

1013143242000 is a wasteful number, since it uses less digits than its factorization.

1013143242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1013143242000 its reverse (2423413101), we get a palindrome (1015566655101).

The spelling of 1013143242000 in words is "one trillion, thirteen billion, one hundred forty-three million, two hundred forty-two thousand".