1010342033120 has 96 divisors (see below), whose sum is σ = 2871498470400. Its totient is φ = 328171239936.

The previous prime is 1010342033111. The next prime is 1010342033143. The reversal of 1010342033120 is 213302430101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010342033092 and 1010342033101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23717960 + ... + 23760519.

It is an arithmetic number, because the mean of its divisors is an integer number (29911442400).

Almost surely, 2^{1010342033120} is an apocalyptic number.

1010342033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010342033120 is an abundant number, since it is smaller than the sum of its proper divisors (1861156437280).

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

1010342033120 is a wasteful number, since it uses less digits than its factorization.

1010342033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47478520 (or 47478512 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1010342033120 its reverse (213302430101), we get a palindrome (1223644463221).

The spelling of 1010342033120 in words is "one trillion, ten billion, three hundred forty-two million, thirty-three thousand, one hundred twenty".