1000013101120 has 112 divisors (see below), whose sum is σ = 2734485768000. Its totient is φ = 344502097920.

The previous prime is 1000013101117. The next prime is 1000013101141. The reversal of 1000013101120 is 211013100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000013101097 and 1000013101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7409295 + ... + 7543054.

It is an arithmetic number, because the mean of its divisors is an integer number (24415051500).

Almost surely, 2^{1000013101120} is an apocalyptic number.

1000013101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000013101120 is an abundant number, since it is smaller than the sum of its proper divisors (1734472666880).

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

1000013101120 is a wasteful number, since it uses less digits than its factorization.

1000013101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952396 (or 14952386 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000013101120 its reverse (211013100001), we get a palindrome (1211026201121).

The spelling of 1000013101120 in words is "one trillion, thirteen million, one hundred one thousand, one hundred twenty".